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Finding the Fourth Proportional to 328,854.28, 493,295.13 and 104,209.74

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Solution

The fourth proportional to 328,854.28, 493,295.13 and 104,209.74 is: 156,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,854.28 : 493,295.13 = 104,209.74 : x
  2. Step 2: Convert to fraction form
    328,854.28/493,295.13 = 104,209.74/x
  3. Step 3: Cross multiply
    328,854.28x = 493,295.13 × 104,209.74
  4. Step 4: Simplify right side
    328,854.28x = 51,406,157,240.57
  5. Step 5: Solve for x
    x = 51,406,157,240.57/328,854.28
  6. Step 6: Final answer
    x = 156,318.96

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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.