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Finding the Fourth Proportional to 364,049.49, 502,390.64 and 202,914.77

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Solution

The fourth proportional to 364,049.49, 502,390.64 and 202,914.77 is: 280,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,049.49 : 502,390.64 = 202,914.77 : x
  2. Step 2: Convert to fraction form
    364,049.49/502,390.64 = 202,914.77/x
  3. Step 3: Cross multiply
    364,049.49x = 502,390.64 × 202,914.77
  4. Step 4: Simplify right side
    364,049.49x = 101,942,481,407.16
  5. Step 5: Solve for x
    x = 101,942,481,407.16/364,049.49
  6. Step 6: Final answer
    x = 280,023.69

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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.