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Finding the Fourth Proportional to 343,036.44, 514,604.48 and 106,398.16

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Solution

The fourth proportional to 343,036.44, 514,604.48 and 106,398.16 is: 159,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,036.44 : 514,604.48 = 106,398.16 : x
  2. Step 2: Convert to fraction form
    343,036.44/514,604.48 = 106,398.16/x
  3. Step 3: Cross multiply
    343,036.44x = 514,604.48 × 106,398.16
  4. Step 4: Simplify right side
    343,036.44x = 54,752,969,799.76
  5. Step 5: Solve for x
    x = 54,752,969,799.76/343,036.44
  6. Step 6: Final answer
    x = 159,612.69

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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.