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Finding the Fourth Proportional to 325,445.46, 488,073.95 and 97,731.90

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Solution

The fourth proportional to 325,445.46, 488,073.95 and 97,731.90 is: 146,569.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,445.46 : 488,073.95 = 97,731.90 : x
  2. Step 2: Convert to fraction form
    325,445.46/488,073.95 = 97,731.90/x
  3. Step 3: Cross multiply
    325,445.46x = 488,073.95 × 97,731.90
  4. Step 4: Simplify right side
    325,445.46x = 47,700,393,985.35
  5. Step 5: Solve for x
    x = 47,700,393,985.35/325,445.46
  6. Step 6: Final answer
    x = 146,569.55

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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.