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Finding the Fourth Proportional to 502,470.40, 753,619.20 and 186,764.80

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Solution

The fourth proportional to 502,470.40, 753,619.20 and 186,764.80 is: 280,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,470.40 : 753,619.20 = 186,764.80 : x
  2. Step 2: Convert to fraction form
    502,470.40/753,619.20 = 186,764.80/x
  3. Step 3: Cross multiply
    502,470.40x = 753,619.20 × 186,764.80
  4. Step 4: Simplify right side
    502,470.40x = 140,749,539,164.16
  5. Step 5: Solve for x
    x = 140,749,539,164.16/502,470.40
  6. Step 6: Final answer
    x = 280,115.09

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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.