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Finding the Fourth Proportional to 311,044.24, 466,565.92 and 97,830.87

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Solution

The fourth proportional to 311,044.24, 466,565.92 and 97,830.87 is: 146,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,044.24 : 466,565.92 = 97,830.87 : x
  2. Step 2: Convert to fraction form
    311,044.24/466,565.92 = 97,830.87/x
  3. Step 3: Cross multiply
    311,044.24x = 466,565.92 × 97,830.87
  4. Step 4: Simplify right side
    311,044.24x = 45,644,549,865.95
  5. Step 5: Solve for x
    x = 45,644,549,865.95/311,044.24
  6. Step 6: Final answer
    x = 146,746.17

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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.