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Finding the Fourth Proportional to 564,703.59, 847,221.23 and 227,570.71

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Solution

The fourth proportional to 564,703.59, 847,221.23 and 227,570.71 is: 341,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,703.59 : 847,221.23 = 227,570.71 : x
  2. Step 2: Convert to fraction form
    564,703.59/847,221.23 = 227,570.71/x
  3. Step 3: Cross multiply
    564,703.59x = 847,221.23 × 227,570.71
  4. Step 4: Simplify right side
    564,703.59x = 192,802,735,289.05
  5. Step 5: Solve for x
    x = 192,802,735,289.05/564,703.59
  6. Step 6: Final answer
    x = 341,422.90

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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.