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Finding the Fourth Proportional to 564,684.96, 847,135.80 and 227,759.64

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Solution

The fourth proportional to 564,684.96, 847,135.80 and 227,759.64 is: 341,683.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,684.96 : 847,135.80 = 227,759.64 : x
  2. Step 2: Convert to fraction form
    564,684.96/847,135.80 = 227,759.64/x
  3. Step 3: Cross multiply
    564,684.96x = 847,135.80 × 227,759.64
  4. Step 4: Simplify right side
    564,684.96x = 192,943,344,839.11
  5. Step 5: Solve for x
    x = 192,943,344,839.11/564,684.96
  6. Step 6: Final answer
    x = 341,683.17

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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.