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Finding the Fourth Proportional to 518,086.38, 714,958.38 and 291,733.50

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Solution

The fourth proportional to 518,086.38, 714,958.38 and 291,733.50 is: 402,591.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,086.38 : 714,958.38 = 291,733.50 : x
  2. Step 2: Convert to fraction form
    518,086.38/714,958.38 = 291,733.50/x
  3. Step 3: Cross multiply
    518,086.38x = 714,958.38 × 291,733.50
  4. Step 4: Simplify right side
    518,086.38x = 208,577,310,551.73
  5. Step 5: Solve for x
    x = 208,577,310,551.73/518,086.38
  6. Step 6: Final answer
    x = 402,591.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.