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Finding the Fourth Proportional to 434,016.66, 651,020.12 and 153,468.30

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Solution

The fourth proportional to 434,016.66, 651,020.12 and 153,468.30 is: 230,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,016.66 : 651,020.12 = 153,468.30 : x
  2. Step 2: Convert to fraction form
    434,016.66/651,020.12 = 153,468.30/x
  3. Step 3: Cross multiply
    434,016.66x = 651,020.12 × 153,468.30
  4. Step 4: Simplify right side
    434,016.66x = 99,910,951,082.20
  5. Step 5: Solve for x
    x = 99,910,951,082.20/434,016.66
  6. Step 6: Final answer
    x = 230,200.73

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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.