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Finding the Fourth Proportional to 457,686.20, 686,594.10 and 142,110.20

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Solution

The fourth proportional to 457,686.20, 686,594.10 and 142,110.20 is: 213,185.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,686.20 : 686,594.10 = 142,110.20 : x
  2. Step 2: Convert to fraction form
    457,686.20/686,594.10 = 142,110.20/x
  3. Step 3: Cross multiply
    457,686.20x = 686,594.10 × 142,110.20
  4. Step 4: Simplify right side
    457,686.20x = 97,572,024,869.82
  5. Step 5: Solve for x
    x = 97,572,024,869.82/457,686.20
  6. Step 6: Final answer
    x = 213,185.42

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1.5x scale

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.