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Finding the Fourth Proportional to 485,200.10, 727,800.15 and 464,723.30

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Solution

The fourth proportional to 485,200.10, 727,800.15 and 464,723.30 is: 697,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,200.10 : 727,800.15 = 464,723.30 : x
  2. Step 2: Convert to fraction form
    485,200.10/727,800.15 = 464,723.30/x
  3. Step 3: Cross multiply
    485,200.10x = 727,800.15 × 464,723.30
  4. Step 4: Simplify right side
    485,200.10x = 338,225,687,448.50
  5. Step 5: Solve for x
    x = 338,225,687,448.50/485,200.10
  6. Step 6: Final answer
    x = 697,084.95

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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.