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Finding the Fourth Proportional to 457,521.40, 686,282.10 and 125,097.40

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Solution

The fourth proportional to 457,521.40, 686,282.10 and 125,097.40 is: 187,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,521.40 : 686,282.10 = 125,097.40 : x
  2. Step 2: Convert to fraction form
    457,521.40/686,282.10 = 125,097.40/x
  3. Step 3: Cross multiply
    457,521.40x = 686,282.10 × 125,097.40
  4. Step 4: Simplify right side
    457,521.40x = 85,852,106,376.54
  5. Step 5: Solve for x
    x = 85,852,106,376.54/457,521.40
  6. Step 6: Final answer
    x = 187,646.10

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Similar ratio
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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.