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Finding the Fourth Proportional to 650,970.29, 976,099.48 and 516,895.61

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Solution

The fourth proportional to 650,970.29, 976,099.48 and 516,895.61 is: 775,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,970.29 : 976,099.48 = 516,895.61 : x
  2. Step 2: Convert to fraction form
    650,970.29/976,099.48 = 516,895.61/x
  3. Step 3: Cross multiply
    650,970.29x = 976,099.48 × 516,895.61
  4. Step 4: Simplify right side
    650,970.29x = 504,541,536,135.28
  5. Step 5: Solve for x
    x = 504,541,536,135.28/650,970.29
  6. Step 6: Final answer
    x = 775,060.77

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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.