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Finding the Fourth Proportional to 647,608.10, 971,412.15 and 411,412.10

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Solution

The fourth proportional to 647,608.10, 971,412.15 and 411,412.10 is: 617,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,608.10 : 971,412.15 = 411,412.10 : x
  2. Step 2: Convert to fraction form
    647,608.10/971,412.15 = 411,412.10/x
  3. Step 3: Cross multiply
    647,608.10x = 971,412.15 × 411,412.10
  4. Step 4: Simplify right side
    647,608.10x = 399,650,712,597.02
  5. Step 5: Solve for x
    x = 399,650,712,597.02/647,608.10
  6. Step 6: Final answer
    x = 617,118.15

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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.