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Finding the Fourth Proportional to 502,010.60, 752,510.46 and 221,478.44

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Solution

The fourth proportional to 502,010.60, 752,510.46 and 221,478.44 is: 331,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,010.60 : 752,510.46 = 221,478.44 : x
  2. Step 2: Convert to fraction form
    502,010.60/752,510.46 = 221,478.44/x
  3. Step 3: Cross multiply
    502,010.60x = 752,510.46 × 221,478.44
  4. Step 4: Simplify right side
    502,010.60x = 166,664,842,764.48
  5. Step 5: Solve for x
    x = 166,664,842,764.48/502,010.60
  6. Step 6: Final answer
    x = 331,994.67

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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.