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Finding the Fourth Proportional to 451,656.71, 677,549.51 and 147,985.92

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Solution

The fourth proportional to 451,656.71, 677,549.51 and 147,985.92 is: 222,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,656.71 : 677,549.51 = 147,985.92 : x
  2. Step 2: Convert to fraction form
    451,656.71/677,549.51 = 147,985.92/x
  3. Step 3: Cross multiply
    451,656.71x = 677,549.51 × 147,985.92
  4. Step 4: Simplify right side
    451,656.71x = 100,267,787,397.92
  5. Step 5: Solve for x
    x = 100,267,787,397.92/451,656.71
  6. Step 6: Final answer
    x = 222,000.00

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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.