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Finding the Fourth Proportional to 533,713.20, 800,565.28 and 217,948.64

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Solution

The fourth proportional to 533,713.20, 800,565.28 and 217,948.64 is: 326,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,713.20 : 800,565.28 = 217,948.64 : x
  2. Step 2: Convert to fraction form
    533,713.20/800,565.28 = 217,948.64/x
  3. Step 3: Cross multiply
    533,713.20x = 800,565.28 × 217,948.64
  4. Step 4: Simplify right side
    533,713.20x = 174,482,114,007.22
  5. Step 5: Solve for x
    x = 174,482,114,007.22/533,713.20
  6. Step 6: Final answer
    x = 326,921.11

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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.