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Finding the Fourth Proportional to 285,737.34, 428,575.94 and 117,275.46

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Solution

The fourth proportional to 285,737.34, 428,575.94 and 117,275.46 is: 175,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,737.34 : 428,575.94 = 117,275.46 : x
  2. Step 2: Convert to fraction form
    285,737.34/428,575.94 = 117,275.46/x
  3. Step 3: Cross multiply
    285,737.34x = 428,575.94 × 117,275.46
  4. Step 4: Simplify right side
    285,737.34x = 50,261,439,922.06
  5. Step 5: Solve for x
    x = 50,261,439,922.06/285,737.34
  6. Step 6: Final answer
    x = 175,900.85

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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.