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Finding the Fourth Proportional to 502,003.24, 753,298.62 and 186,677.80

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Solution

The fourth proportional to 502,003.24, 753,298.62 and 186,677.80 is: 280,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,003.24 : 753,298.62 = 186,677.80 : x
  2. Step 2: Convert to fraction form
    502,003.24/753,298.62 = 186,677.80/x
  3. Step 3: Cross multiply
    502,003.24x = 753,298.62 × 186,677.80
  4. Step 4: Simplify right side
    502,003.24x = 140,624,129,124.64
  5. Step 5: Solve for x
    x = 140,624,129,124.64/502,003.24
  6. Step 6: Final answer
    x = 280,125.94

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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.