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Finding the Fourth Proportional to 310,712.13, 466,068.24 and 97,512.95

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Solution

The fourth proportional to 310,712.13, 466,068.24 and 97,512.95 is: 146,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,712.13 : 466,068.24 = 97,512.95 : x
  2. Step 2: Convert to fraction form
    310,712.13/466,068.24 = 97,512.95/x
  3. Step 3: Cross multiply
    310,712.13x = 466,068.24 × 97,512.95
  4. Step 4: Simplify right side
    310,712.13x = 45,447,687,847.39
  5. Step 5: Solve for x
    x = 45,447,687,847.39/310,712.13
  6. Step 6: Final answer
    x = 146,269.44

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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.