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Finding the Fourth Proportional to 501,838.16, 752,700.96 and 146,854.88

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Solution

The fourth proportional to 501,838.16, 752,700.96 and 146,854.88 is: 220,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,838.16 : 752,700.96 = 146,854.88 : x
  2. Step 2: Convert to fraction form
    501,838.16/752,700.96 = 146,854.88/x
  3. Step 3: Cross multiply
    501,838.16x = 752,700.96 × 146,854.88
  4. Step 4: Simplify right side
    501,838.16x = 110,537,809,156.69
  5. Step 5: Solve for x
    x = 110,537,809,156.69/501,838.16
  6. Step 6: Final answer
    x = 220,265.85

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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.