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Finding the Fourth Proportional to 474,700.11, 712,049.45 and 142,276.11

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Solution

The fourth proportional to 474,700.11, 712,049.45 and 142,276.11 is: 213,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,700.11 : 712,049.45 = 142,276.11 : x
  2. Step 2: Convert to fraction form
    474,700.11/712,049.45 = 142,276.11/x
  3. Step 3: Cross multiply
    474,700.11x = 712,049.45 × 142,276.11
  4. Step 4: Simplify right side
    474,700.11x = 101,307,625,162.26
  5. Step 5: Solve for x
    x = 101,307,625,162.26/474,700.11
  6. Step 6: Final answer
    x = 213,413.95

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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.