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Finding the Fourth Proportional to 502,824.92, 754,237.50 and 147,840.68

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Solution

The fourth proportional to 502,824.92, 754,237.50 and 147,840.68 is: 221,761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,824.92 : 754,237.50 = 147,840.68 : x
  2. Step 2: Convert to fraction form
    502,824.92/754,237.50 = 147,840.68/x
  3. Step 3: Cross multiply
    502,824.92x = 754,237.50 × 147,840.68
  4. Step 4: Simplify right side
    502,824.92x = 111,506,984,881.50
  5. Step 5: Solve for x
    x = 111,506,984,881.50/502,824.92
  6. Step 6: Final answer
    x = 221,761.06

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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.