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Finding the Fourth Proportional to 462,203.20, 693,304.80 and 213,371.20

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Solution

The fourth proportional to 462,203.20, 693,304.80 and 213,371.20 is: 320,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,203.20 : 693,304.80 = 213,371.20 : x
  2. Step 2: Convert to fraction form
    462,203.20/693,304.80 = 213,371.20/x
  3. Step 3: Cross multiply
    462,203.20x = 693,304.80 × 213,371.20
  4. Step 4: Simplify right side
    462,203.20x = 147,931,277,141.76
  5. Step 5: Solve for x
    x = 147,931,277,141.76/462,203.20
  6. Step 6: Final answer
    x = 320,056.80

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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.