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Finding the Fourth Proportional to 457,871.60, 686,807.40 and 407,133.20

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Solution

The fourth proportional to 457,871.60, 686,807.40 and 407,133.20 is: 610,699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,871.60 : 686,807.40 = 407,133.20 : x
  2. Step 2: Convert to fraction form
    457,871.60/686,807.40 = 407,133.20/x
  3. Step 3: Cross multiply
    457,871.60x = 686,807.40 × 407,133.20
  4. Step 4: Simplify right side
    457,871.60x = 279,622,094,545.68
  5. Step 5: Solve for x
    x = 279,622,094,545.68/457,871.60
  6. Step 6: Final answer
    x = 610,699.80

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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.