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Finding the Fourth Proportional to 591,614.16, 887,420.16 and 142,334.64

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Solution

The fourth proportional to 591,614.16, 887,420.16 and 142,334.64 is: 213,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,614.16 : 887,420.16 = 142,334.64 : x
  2. Step 2: Convert to fraction form
    591,614.16/887,420.16 = 142,334.64/x
  3. Step 3: Cross multiply
    591,614.16x = 887,420.16 × 142,334.64
  4. Step 4: Simplify right side
    591,614.16x = 126,310,629,002.34
  5. Step 5: Solve for x
    x = 126,310,629,002.34/591,614.16
  6. Step 6: Final answer
    x = 213,501.70

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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.