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Finding the Fourth Proportional to 363,904.80, 545,782 and 97,602

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Solution

The fourth proportional to 363,904.80, 545,782 and 97,602 is: 146,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,904.80 : 545,782 = 97,602 : x
  2. Step 2: Convert to fraction form
    363,904.80/545,782 = 97,602/x
  3. Step 3: Cross multiply
    363,904.80x = 545,782 × 97,602
  4. Step 4: Simplify right side
    363,904.80x = 53,269,414,764
  5. Step 5: Solve for x
    x = 53,269,414,764/363,904.80
  6. Step 6: Final answer
    x = 146,382.83

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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.