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Finding the Fourth Proportional to 412,802.16, 569,139.62 and 267,350.96

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Solution

The fourth proportional to 412,802.16, 569,139.62 and 267,350.96 is: 368,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,802.16 : 569,139.62 = 267,350.96 : x
  2. Step 2: Convert to fraction form
    412,802.16/569,139.62 = 267,350.96/x
  3. Step 3: Cross multiply
    412,802.16x = 569,139.62 × 267,350.96
  4. Step 4: Simplify right side
    412,802.16x = 152,160,023,781.04
  5. Step 5: Solve for x
    x = 152,160,023,781.04/412,802.16
  6. Step 6: Final answer
    x = 368,602.78

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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.