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Finding the Fourth Proportional to 501,531.84, 752,346.24 and 146,537.76

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Solution

The fourth proportional to 501,531.84, 752,346.24 and 146,537.76 is: 219,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,531.84 : 752,346.24 = 146,537.76 : x
  2. Step 2: Convert to fraction form
    501,531.84/752,346.24 = 146,537.76/x
  3. Step 3: Cross multiply
    501,531.84x = 752,346.24 × 146,537.76
  4. Step 4: Simplify right side
    501,531.84x = 110,247,132,754.02
  5. Step 5: Solve for x
    x = 110,247,132,754.02/501,531.84
  6. Step 6: Final answer
    x = 219,820.80

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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.