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Finding the Fourth Proportional to 475,414.32, 656,076.90 and 260,549.76

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Solution

The fourth proportional to 475,414.32, 656,076.90 and 260,549.76 is: 359,561.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,414.32 : 656,076.90 = 260,549.76 : x
  2. Step 2: Convert to fraction form
    475,414.32/656,076.90 = 260,549.76/x
  3. Step 3: Cross multiply
    475,414.32x = 656,076.90 × 260,549.76
  4. Step 4: Simplify right side
    475,414.32x = 170,940,678,836.54
  5. Step 5: Solve for x
    x = 170,940,678,836.54/475,414.32
  6. Step 6: Final answer
    x = 359,561.48

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