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Finding the Fourth Proportional to 502,212.48, 753,422.40 and 147,238.08

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Solution

The fourth proportional to 502,212.48, 753,422.40 and 147,238.08 is: 220,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,212.48 : 753,422.40 = 147,238.08 : x
  2. Step 2: Convert to fraction form
    502,212.48/753,422.40 = 147,238.08/x
  3. Step 3: Cross multiply
    502,212.48x = 753,422.40 × 147,238.08
  4. Step 4: Simplify right side
    502,212.48x = 110,932,467,604.99
  5. Step 5: Solve for x
    x = 110,932,467,604.99/502,212.48
  6. Step 6: Final answer
    x = 220,887.52

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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.