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Finding the Fourth Proportional to 475,398.74, 656,051.19 and 260,546.78

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Solution

The fourth proportional to 475,398.74, 656,051.19 and 260,546.78 is: 359,555.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,398.74 : 656,051.19 = 260,546.78 : x
  2. Step 2: Convert to fraction form
    475,398.74/656,051.19 = 260,546.78/x
  3. Step 3: Cross multiply
    475,398.74x = 656,051.19 × 260,546.78
  4. Step 4: Simplify right side
    475,398.74x = 170,932,025,069.67
  5. Step 5: Solve for x
    x = 170,932,025,069.67/475,398.74
  6. Step 6: Final answer
    x = 359,555.07

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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.