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Finding the Fourth Proportional to 364,087.72, 502,458.32 and 202,943.92

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Solution

The fourth proportional to 364,087.72, 502,458.32 and 202,943.92 is: 280,072.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,087.72 : 502,458.32 = 202,943.92 : x
  2. Step 2: Convert to fraction form
    364,087.72/502,458.32 = 202,943.92/x
  3. Step 3: Cross multiply
    364,087.72x = 502,458.32 × 202,943.92
  4. Step 4: Simplify right side
    364,087.72x = 101,970,861,097.41
  5. Step 5: Solve for x
    x = 101,970,861,097.41/364,087.72
  6. Step 6: Final answer
    x = 280,072.23

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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.