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Finding the Fourth Proportional to 363,932, 502,229.76 and 213,032.24

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Solution

The fourth proportional to 363,932, 502,229.76 and 213,032.24 is: 293,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,932 : 502,229.76 = 213,032.24 : x
  2. Step 2: Convert to fraction form
    363,932/502,229.76 = 213,032.24/x
  3. Step 3: Cross multiply
    363,932x = 502,229.76 × 213,032.24
  4. Step 4: Simplify right side
    363,932x = 106,991,130,767.46
  5. Step 5: Solve for x
    x = 106,991,130,767.46/363,932
  6. Step 6: Final answer
    x = 293,986.60

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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.