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Finding the Fourth Proportional to 364,230.24, 502,644 and 200,905.56

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Solution

The fourth proportional to 364,230.24, 502,644 and 200,905.56 is: 277,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,230.24 : 502,644 = 200,905.56 : x
  2. Step 2: Convert to fraction form
    364,230.24/502,644 = 200,905.56/x
  3. Step 3: Cross multiply
    364,230.24x = 502,644 × 200,905.56
  4. Step 4: Simplify right side
    364,230.24x = 100,983,974,300.64
  5. Step 5: Solve for x
    x = 100,983,974,300.64/364,230.24
  6. Step 6: Final answer
    x = 277,253.13

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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.