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Finding the Fourth Proportional to 623,326.60, 932,657.10 and 413,374.60

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Solution

The fourth proportional to 623,326.60, 932,657.10 and 413,374.60 is: 618,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,326.60 : 932,657.10 = 413,374.60 : x
  2. Step 2: Convert to fraction form
    623,326.60/932,657.10 = 413,374.60/x
  3. Step 3: Cross multiply
    623,326.60x = 932,657.10 × 413,374.60
  4. Step 4: Simplify right side
    623,326.60x = 385,536,755,649.66
  5. Step 5: Solve for x
    x = 385,536,755,649.66/623,326.60
  6. Step 6: Final answer
    x = 618,514.85

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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.