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Finding the Fourth Proportional to 431,701.80, 647,552.70 and 413,039.40

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Solution

The fourth proportional to 431,701.80, 647,552.70 and 413,039.40 is: 619,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,701.80 : 647,552.70 = 413,039.40 : x
  2. Step 2: Convert to fraction form
    431,701.80/647,552.70 = 413,039.40/x
  3. Step 3: Cross multiply
    431,701.80x = 647,552.70 × 413,039.40
  4. Step 4: Simplify right side
    431,701.80x = 267,464,778,676.38
  5. Step 5: Solve for x
    x = 267,464,778,676.38/431,701.80
  6. Step 6: Final answer
    x = 619,559.10

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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.