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Finding the Fourth Proportional to 334,456.38, 461,549.80 and 200,320.38

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Solution

The fourth proportional to 334,456.38, 461,549.80 and 200,320.38 is: 276,442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,456.38 : 461,549.80 = 200,320.38 : x
  2. Step 2: Convert to fraction form
    334,456.38/461,549.80 = 200,320.38/x
  3. Step 3: Cross multiply
    334,456.38x = 461,549.80 × 200,320.38
  4. Step 4: Simplify right side
    334,456.38x = 92,457,831,324.92
  5. Step 5: Solve for x
    x = 92,457,831,324.92/334,456.38
  6. Step 6: Final answer
    x = 276,442.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.