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Finding the Fourth Proportional to 486,225.73, 729,211.51 and 144,577.15

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Solution

The fourth proportional to 486,225.73, 729,211.51 and 144,577.15 is: 216,827.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,225.73 : 729,211.51 = 144,577.15 : x
  2. Step 2: Convert to fraction form
    486,225.73/729,211.51 = 144,577.15/x
  3. Step 3: Cross multiply
    486,225.73x = 729,211.51 × 144,577.15
  4. Step 4: Simplify right side
    486,225.73x = 105,427,321,863.00
  5. Step 5: Solve for x
    x = 105,427,321,863.00/486,225.73
  6. Step 6: Final answer
    x = 216,827.94

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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.