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Finding the Fourth Proportional to 502,638.20, 753,884.40 and 147,615.20

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Solution

The fourth proportional to 502,638.20, 753,884.40 and 147,615.20 is: 221,401.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,638.20 : 753,884.40 = 147,615.20 : x
  2. Step 2: Convert to fraction form
    502,638.20/753,884.40 = 147,615.20/x
  3. Step 3: Cross multiply
    502,638.20x = 753,884.40 × 147,615.20
  4. Step 4: Simplify right side
    502,638.20x = 111,284,796,482.88
  5. Step 5: Solve for x
    x = 111,284,796,482.88/502,638.20
  6. Step 6: Final answer
    x = 221,401.39

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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.