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Finding the Fourth Proportional to 297,316.57, 410,162.91 and 176,462.95

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Solution

The fourth proportional to 297,316.57, 410,162.91 and 176,462.95 is: 243,439.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,316.57 : 410,162.91 = 176,462.95 : x
  2. Step 2: Convert to fraction form
    297,316.57/410,162.91 = 176,462.95/x
  3. Step 3: Cross multiply
    297,316.57x = 410,162.91 × 176,462.95
  4. Step 4: Simplify right side
    297,316.57x = 72,378,557,079.18
  5. Step 5: Solve for x
    x = 72,378,557,079.18/297,316.57
  6. Step 6: Final answer
    x = 243,439.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.