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Finding the Fourth Proportional to 598,191.28, 897,707.76 and 541,019.50

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Solution

The fourth proportional to 598,191.28, 897,707.76 and 541,019.50 is: 811,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,191.28 : 897,707.76 = 541,019.50 : x
  2. Step 2: Convert to fraction form
    598,191.28/897,707.76 = 541,019.50/x
  3. Step 3: Cross multiply
    598,191.28x = 897,707.76 × 541,019.50
  4. Step 4: Simplify right side
    598,191.28x = 485,677,403,461.32
  5. Step 5: Solve for x
    x = 485,677,403,461.32/598,191.28
  6. Step 6: Final answer
    x = 811,909.87

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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.