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Finding the Fourth Proportional to 413,742.40, 620,613.60 and 272,024.80

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Solution

The fourth proportional to 413,742.40, 620,613.60 and 272,024.80 is: 408,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,742.40 : 620,613.60 = 272,024.80 : x
  2. Step 2: Convert to fraction form
    413,742.40/620,613.60 = 272,024.80/x
  3. Step 3: Cross multiply
    413,742.40x = 620,613.60 × 272,024.80
  4. Step 4: Simplify right side
    413,742.40x = 168,822,290,417.28
  5. Step 5: Solve for x
    x = 168,822,290,417.28/413,742.40
  6. Step 6: Final answer
    x = 408,037.20

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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.