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Finding the Fourth Proportional to 457,465.40, 686,198.10 and 125,041.40

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Solution

The fourth proportional to 457,465.40, 686,198.10 and 125,041.40 is: 187,562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,465.40 : 686,198.10 = 125,041.40 : x
  2. Step 2: Convert to fraction form
    457,465.40/686,198.10 = 125,041.40/x
  3. Step 3: Cross multiply
    457,465.40x = 686,198.10 × 125,041.40
  4. Step 4: Simplify right side
    457,465.40x = 85,803,171,101.34
  5. Step 5: Solve for x
    x = 85,803,171,101.34/457,465.40
  6. Step 6: Final answer
    x = 187,562.10

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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.