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Finding the Fourth Proportional to 306,562.88, 459,863.76 and 96,209.12

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Solution

The fourth proportional to 306,562.88, 459,863.76 and 96,209.12 is: 144,319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,562.88 : 459,863.76 = 96,209.12 : x
  2. Step 2: Convert to fraction form
    306,562.88/459,863.76 = 96,209.12/x
  3. Step 3: Cross multiply
    306,562.88x = 459,863.76 × 96,209.12
  4. Step 4: Simplify right side
    306,562.88x = 44,243,087,669.49
  5. Step 5: Solve for x
    x = 44,243,087,669.49/306,562.88
  6. Step 6: Final answer
    x = 144,319.78

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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.