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Finding the Fourth Proportional to 503,005.93, 754,348.84 and 165,983.76

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Solution

The fourth proportional to 503,005.93, 754,348.84 and 165,983.76 is: 248,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,005.93 : 754,348.84 = 165,983.76 : x
  2. Step 2: Convert to fraction form
    503,005.93/754,348.84 = 165,983.76/x
  3. Step 3: Cross multiply
    503,005.93x = 754,348.84 × 165,983.76
  4. Step 4: Simplify right side
    503,005.93x = 125,209,656,814.84
  5. Step 5: Solve for x
    x = 125,209,656,814.84/503,005.93
  6. Step 6: Final answer
    x = 248,922.82

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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.