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Finding the Fourth Proportional to 457,907.59, 686,966.01 and 158,387.92

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Solution

The fourth proportional to 457,907.59, 686,966.01 and 158,387.92 is: 237,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,907.59 : 686,966.01 = 158,387.92 : x
  2. Step 2: Convert to fraction form
    457,907.59/686,966.01 = 158,387.92/x
  3. Step 3: Cross multiply
    457,907.59x = 686,966.01 × 158,387.92
  4. Step 4: Simplify right side
    457,907.59x = 108,807,117,434.60
  5. Step 5: Solve for x
    x = 108,807,117,434.60/457,907.59
  6. Step 6: Final answer
    x = 237,618.07

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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.