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Finding the Fourth Proportional to 364,013.16, 502,338.56 and 202,864.56

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Solution

The fourth proportional to 364,013.16, 502,338.56 and 202,864.56 is: 279,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,013.16 : 502,338.56 = 202,864.56 : x
  2. Step 2: Convert to fraction form
    364,013.16/502,338.56 = 202,864.56/x
  3. Step 3: Cross multiply
    364,013.16x = 502,338.56 × 202,864.56
  4. Step 4: Simplify right side
    364,013.16x = 101,906,689,931.11
  5. Step 5: Solve for x
    x = 101,906,689,931.11/364,013.16
  6. Step 6: Final answer
    x = 279,953.31

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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.