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Finding the Fourth Proportional to 364,356.76, 502,856.20 and 213,453.76

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Solution

The fourth proportional to 364,356.76, 502,856.20 and 213,453.76 is: 294,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,356.76 : 502,856.20 = 213,453.76 : x
  2. Step 2: Convert to fraction form
    364,356.76/502,856.20 = 213,453.76/x
  3. Step 3: Cross multiply
    364,356.76x = 502,856.20 × 213,453.76
  4. Step 4: Simplify right side
    364,356.76x = 107,336,546,629.31
  5. Step 5: Solve for x
    x = 107,336,546,629.31/364,356.76
  6. Step 6: Final answer
    x = 294,591.89

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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.