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Finding the Fourth Proportional to 598,722.60, 898,208.70 and 199,487.40

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Solution

The fourth proportional to 598,722.60, 898,208.70 and 199,487.40 is: 299,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,722.60 : 898,208.70 = 199,487.40 : x
  2. Step 2: Convert to fraction form
    598,722.60/898,208.70 = 199,487.40/x
  3. Step 3: Cross multiply
    598,722.60x = 898,208.70 × 199,487.40
  4. Step 4: Simplify right side
    598,722.60x = 179,181,318,220.38
  5. Step 5: Solve for x
    x = 179,181,318,220.38/598,722.60
  6. Step 6: Final answer
    x = 299,272.68

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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.