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Finding the Fourth Proportional to 653,752.13, 902,227.14 and 399,152.52

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Solution

The fourth proportional to 653,752.13, 902,227.14 and 399,152.52 is: 550,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,752.13 : 902,227.14 = 399,152.52 : x
  2. Step 2: Convert to fraction form
    653,752.13/902,227.14 = 399,152.52/x
  3. Step 3: Cross multiply
    653,752.13x = 902,227.14 × 399,152.52
  4. Step 4: Simplify right side
    653,752.13x = 360,126,236,543.39
  5. Step 5: Solve for x
    x = 360,126,236,543.39/653,752.13
  6. Step 6: Final answer
    x = 550,860.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.