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Finding the Fourth Proportional to 364,422.72, 502,947.36 and 213,519.84

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Solution

The fourth proportional to 364,422.72, 502,947.36 and 213,519.84 is: 294,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,422.72 : 502,947.36 = 213,519.84 : x
  2. Step 2: Convert to fraction form
    364,422.72/502,947.36 = 213,519.84/x
  3. Step 3: Cross multiply
    364,422.72x = 502,947.36 × 213,519.84
  4. Step 4: Simplify right side
    364,422.72x = 107,389,239,835.62
  5. Step 5: Solve for x
    x = 107,389,239,835.62/364,422.72
  6. Step 6: Final answer
    x = 294,683.16

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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.