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Finding the Fourth Proportional to 407,773.76, 562,708.28 and 226,497.20

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Solution

The fourth proportional to 407,773.76, 562,708.28 and 226,497.20 is: 312,555.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,773.76 : 562,708.28 = 226,497.20 : x
  2. Step 2: Convert to fraction form
    407,773.76/562,708.28 = 226,497.20/x
  3. Step 3: Cross multiply
    407,773.76x = 562,708.28 × 226,497.20
  4. Step 4: Simplify right side
    407,773.76x = 127,451,849,836.82
  5. Step 5: Solve for x
    x = 127,451,849,836.82/407,773.76
  6. Step 6: Final answer
    x = 312,555.30

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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.