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Finding the Fourth Proportional to 514,958.88, 710,604.16 and 288,560.64

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Solution

The fourth proportional to 514,958.88, 710,604.16 and 288,560.64 is: 398,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,958.88 : 710,604.16 = 288,560.64 : x
  2. Step 2: Convert to fraction form
    514,958.88/710,604.16 = 288,560.64/x
  3. Step 3: Cross multiply
    514,958.88x = 710,604.16 × 288,560.64
  4. Step 4: Simplify right side
    514,958.88x = 205,052,391,196.26
  5. Step 5: Solve for x
    x = 205,052,391,196.26/514,958.88
  6. Step 6: Final answer
    x = 398,191.78

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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.