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Finding the Fourth Proportional to 398,341.80, 597,188.09 and 185,244.17

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Solution

The fourth proportional to 398,341.80, 597,188.09 and 185,244.17 is: 277,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,341.80 : 597,188.09 = 185,244.17 : x
  2. Step 2: Convert to fraction form
    398,341.80/597,188.09 = 185,244.17/x
  3. Step 3: Cross multiply
    398,341.80x = 597,188.09 × 185,244.17
  4. Step 4: Simplify right side
    398,341.80x = 110,625,609,543.11
  5. Step 5: Solve for x
    x = 110,625,609,543.11/398,341.80
  6. Step 6: Final answer
    x = 277,715.29

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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.