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Finding the Fourth Proportional to 500,713.92, 690,985.55 and 296,865.41

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Solution

The fourth proportional to 500,713.92, 690,985.55 and 296,865.41 is: 409,674.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,713.92 : 690,985.55 = 296,865.41 : x
  2. Step 2: Convert to fraction form
    500,713.92/690,985.55 = 296,865.41/x
  3. Step 3: Cross multiply
    500,713.92x = 690,985.55 × 296,865.41
  4. Step 4: Simplify right side
    500,713.92x = 205,129,705,892.06
  5. Step 5: Solve for x
    x = 205,129,705,892.06/500,713.92
  6. Step 6: Final answer
    x = 409,674.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.