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Finding the Fourth Proportional to 502,437.60, 753,656.40 and 186,829.20

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Solution

The fourth proportional to 502,437.60, 753,656.40 and 186,829.20 is: 280,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,437.60 : 753,656.40 = 186,829.20 : x
  2. Step 2: Convert to fraction form
    502,437.60/753,656.40 = 186,829.20/x
  3. Step 3: Cross multiply
    502,437.60x = 753,656.40 × 186,829.20
  4. Step 4: Simplify right side
    502,437.60x = 140,805,022,286.88
  5. Step 5: Solve for x
    x = 140,805,022,286.88/502,437.60
  6. Step 6: Final answer
    x = 280,243.80

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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.