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Finding the Fourth Proportional to 283,345.92, 424,938.24 and 96,353.28

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Solution

The fourth proportional to 283,345.92, 424,938.24 and 96,353.28 is: 144,502.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,345.92 : 424,938.24 = 96,353.28 : x
  2. Step 2: Convert to fraction form
    283,345.92/424,938.24 = 96,353.28/x
  3. Step 3: Cross multiply
    283,345.92x = 424,938.24 × 96,353.28
  4. Step 4: Simplify right side
    283,345.92x = 40,944,193,221.43
  5. Step 5: Solve for x
    x = 40,944,193,221.43/283,345.92
  6. Step 6: Final answer
    x = 144,502.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.