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Finding the Fourth Proportional to 493,988.46, 741,045.46 and 156,908.85

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Solution

The fourth proportional to 493,988.46, 741,045.46 and 156,908.85 is: 235,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,988.46 : 741,045.46 = 156,908.85 : x
  2. Step 2: Convert to fraction form
    493,988.46/741,045.46 = 156,908.85/x
  3. Step 3: Cross multiply
    493,988.46x = 741,045.46 × 156,908.85
  4. Step 4: Simplify right side
    493,988.46x = 116,276,590,926.32
  5. Step 5: Solve for x
    x = 116,276,590,926.32/493,988.46
  6. Step 6: Final answer
    x = 235,383.21

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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.