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Finding the Fourth Proportional to 413,741.80, 620,612.70 and 411,117.40

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Solution

The fourth proportional to 413,741.80, 620,612.70 and 411,117.40 is: 616,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,741.80 : 620,612.70 = 411,117.40 : x
  2. Step 2: Convert to fraction form
    413,741.80/620,612.70 = 411,117.40/x
  3. Step 3: Cross multiply
    413,741.80x = 620,612.70 × 411,117.40
  4. Step 4: Simplify right side
    413,741.80x = 255,144,679,630.98
  5. Step 5: Solve for x
    x = 255,144,679,630.98/413,741.80
  6. Step 6: Final answer
    x = 616,676.10

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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.