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Finding the Fourth Proportional to 647,612.90, 971,419.35 and 411,416.90

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Solution

The fourth proportional to 647,612.90, 971,419.35 and 411,416.90 is: 617,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,612.90 : 971,419.35 = 411,416.90 : x
  2. Step 2: Convert to fraction form
    647,612.90/971,419.35 = 411,416.90/x
  3. Step 3: Cross multiply
    647,612.90x = 971,419.35 × 411,416.90
  4. Step 4: Simplify right side
    647,612.90x = 399,658,337,577.02
  5. Step 5: Solve for x
    x = 399,658,337,577.02/647,612.90
  6. Step 6: Final answer
    x = 617,125.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.