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Finding the Fourth Proportional to 497,714.60, 748,415.10 and 416,613.80

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Solution

The fourth proportional to 497,714.60, 748,415.10 and 416,613.80 is: 626,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,714.60 : 748,415.10 = 416,613.80 : x
  2. Step 2: Convert to fraction form
    497,714.60/748,415.10 = 416,613.80/x
  3. Step 3: Cross multiply
    497,714.60x = 748,415.10 × 416,613.80
  4. Step 4: Simplify right side
    497,714.60x = 311,800,058,788.38
  5. Step 5: Solve for x
    x = 311,800,058,788.38/497,714.60
  6. Step 6: Final answer
    x = 626,463.56

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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.