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Finding the Fourth Proportional to 398,345.80, 597,194.10 and 185,248.16

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Solution

The fourth proportional to 398,345.80, 597,194.10 and 185,248.16 is: 277,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,345.80 : 597,194.10 = 185,248.16 : x
  2. Step 2: Convert to fraction form
    398,345.80/597,194.10 = 185,248.16/x
  3. Step 3: Cross multiply
    398,345.80x = 597,194.10 × 185,248.16
  4. Step 4: Simplify right side
    398,345.80x = 110,629,108,187.86
  5. Step 5: Solve for x
    x = 110,629,108,187.86/398,345.80
  6. Step 6: Final answer
    x = 277,721.29

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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.