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Finding the Fourth Proportional to 566,397.24, 781,502.70 and 327,795

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Solution

The fourth proportional to 566,397.24, 781,502.70 and 327,795 is: 452,284.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,397.24 : 781,502.70 = 327,795 : x
  2. Step 2: Convert to fraction form
    566,397.24/781,502.70 = 327,795/x
  3. Step 3: Cross multiply
    566,397.24x = 781,502.70 × 327,795
  4. Step 4: Simplify right side
    566,397.24x = 256,172,677,546.50
  5. Step 5: Solve for x
    x = 256,172,677,546.50/566,397.24
  6. Step 6: Final answer
    x = 452,284.47

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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.