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Finding the Fourth Proportional to 364,013.60, 502,339.52 and 202,865.41

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Solution

The fourth proportional to 364,013.60, 502,339.52 and 202,865.41 is: 279,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,013.60 : 502,339.52 = 202,865.41 : x
  2. Step 2: Convert to fraction form
    364,013.60/502,339.52 = 202,865.41/x
  3. Step 3: Cross multiply
    364,013.60x = 502,339.52 × 202,865.41
  4. Step 4: Simplify right side
    364,013.60x = 101,907,313,819.09
  5. Step 5: Solve for x
    x = 101,907,313,819.09/364,013.60
  6. Step 6: Final answer
    x = 279,954.69

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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.