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Finding the Fourth Proportional to 503,135.64, 754,178.46 and 203,822.82

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Solution

The fourth proportional to 503,135.64, 754,178.46 and 203,822.82 is: 305,521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,135.64 : 754,178.46 = 203,822.82 : x
  2. Step 2: Convert to fraction form
    503,135.64/754,178.46 = 203,822.82/x
  3. Step 3: Cross multiply
    503,135.64x = 754,178.46 × 203,822.82
  4. Step 4: Simplify right side
    503,135.64x = 153,718,780,500.46
  5. Step 5: Solve for x
    x = 153,718,780,500.46/503,135.64
  6. Step 6: Final answer
    x = 305,521.55

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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.