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Finding the Fourth Proportional to 502,011.38, 752,962.34 and 147,028.52

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Solution

The fourth proportional to 502,011.38, 752,962.34 and 147,028.52 is: 220,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,011.38 : 752,962.34 = 147,028.52 : x
  2. Step 2: Convert to fraction form
    502,011.38/752,962.34 = 147,028.52/x
  3. Step 3: Cross multiply
    502,011.38x = 752,962.34 × 147,028.52
  4. Step 4: Simplify right side
    502,011.38x = 110,706,938,465.94
  5. Step 5: Solve for x
    x = 110,706,938,465.94/502,011.38
  6. Step 6: Final answer
    x = 220,526.75

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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.