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Finding the Fourth Proportional to 325,447.71, 488,077.32 and 97,734.15

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Solution

The fourth proportional to 325,447.71, 488,077.32 and 97,734.15 is: 146,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,447.71 : 488,077.32 = 97,734.15 : x
  2. Step 2: Convert to fraction form
    325,447.71/488,077.32 = 97,734.15/x
  3. Step 3: Cross multiply
    325,447.71x = 488,077.32 × 97,734.15
  4. Step 4: Simplify right side
    325,447.71x = 47,701,822,004.48
  5. Step 5: Solve for x
    x = 47,701,822,004.48/325,447.71
  6. Step 6: Final answer
    x = 146,572.92

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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.