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Finding the Fourth Proportional to 475,433.28, 656,097.84 and 260,580.24

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Solution

The fourth proportional to 475,433.28, 656,097.84 and 260,580.24 is: 359,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,433.28 : 656,097.84 = 260,580.24 : x
  2. Step 2: Convert to fraction form
    475,433.28/656,097.84 = 260,580.24/x
  3. Step 3: Cross multiply
    475,433.28x = 656,097.84 × 260,580.24
  4. Step 4: Simplify right side
    475,433.28x = 170,966,132,610.68
  5. Step 5: Solve for x
    x = 170,966,132,610.68/475,433.28
  6. Step 6: Final answer
    x = 359,600.68

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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.