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Finding the Fourth Proportional to 457,570.80, 686,401.80 and 191,414.64

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Solution

The fourth proportional to 457,570.80, 686,401.80 and 191,414.64 is: 287,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,570.80 : 686,401.80 = 191,414.64 : x
  2. Step 2: Convert to fraction form
    457,570.80/686,401.80 = 191,414.64/x
  3. Step 3: Cross multiply
    457,570.80x = 686,401.80 × 191,414.64
  4. Step 4: Simplify right side
    457,570.80x = 131,387,353,442.35
  5. Step 5: Solve for x
    x = 131,387,353,442.35/457,570.80
  6. Step 6: Final answer
    x = 287,141.04

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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.