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Finding the Fourth Proportional to 462,134.20, 693,201.30 and 213,302.20

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Solution

The fourth proportional to 462,134.20, 693,201.30 and 213,302.20 is: 319,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,134.20 : 693,201.30 = 213,302.20 : x
  2. Step 2: Convert to fraction form
    462,134.20/693,201.30 = 213,302.20/x
  3. Step 3: Cross multiply
    462,134.20x = 693,201.30 × 213,302.20
  4. Step 4: Simplify right side
    462,134.20x = 147,861,362,332.86
  5. Step 5: Solve for x
    x = 147,861,362,332.86/462,134.20
  6. Step 6: Final answer
    x = 319,953.30

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.