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Finding the Fourth Proportional to 457,953.60, 686,930.40 and 407,215.20

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Solution

The fourth proportional to 457,953.60, 686,930.40 and 407,215.20 is: 610,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,953.60 : 686,930.40 = 407,215.20 : x
  2. Step 2: Convert to fraction form
    457,953.60/686,930.40 = 407,215.20/x
  3. Step 3: Cross multiply
    457,953.60x = 686,930.40 × 407,215.20
  4. Step 4: Simplify right side
    457,953.60x = 279,728,500,222.08
  5. Step 5: Solve for x
    x = 279,728,500,222.08/457,953.60
  6. Step 6: Final answer
    x = 610,822.80

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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.