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Finding the Fourth Proportional to 418,938.48, 578,117.70 and 227,951.82

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Solution

The fourth proportional to 418,938.48, 578,117.70 and 227,951.82 is: 314,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,938.48 : 578,117.70 = 227,951.82 : x
  2. Step 2: Convert to fraction form
    418,938.48/578,117.70 = 227,951.82/x
  3. Step 3: Cross multiply
    418,938.48x = 578,117.70 × 227,951.82
  4. Step 4: Simplify right side
    418,938.48x = 131,782,981,889.21
  5. Step 5: Solve for x
    x = 131,782,981,889.21/418,938.48
  6. Step 6: Final answer
    x = 314,564.04

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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.