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Finding the Fourth Proportional to 549,301.80, 823,952.70 and 216,834.60

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Solution

The fourth proportional to 549,301.80, 823,952.70 and 216,834.60 is: 325,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,301.80 : 823,952.70 = 216,834.60 : x
  2. Step 2: Convert to fraction form
    549,301.80/823,952.70 = 216,834.60/x
  3. Step 3: Cross multiply
    549,301.80x = 823,952.70 × 216,834.60
  4. Step 4: Simplify right side
    549,301.80x = 178,661,454,123.42
  5. Step 5: Solve for x
    x = 178,661,454,123.42/549,301.80
  6. Step 6: Final answer
    x = 325,251.90

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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.