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Finding the Fourth Proportional to 462,205.20, 693,307.80 and 213,373.20

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Solution

The fourth proportional to 462,205.20, 693,307.80 and 213,373.20 is: 320,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,205.20 : 693,307.80 = 213,373.20 : x
  2. Step 2: Convert to fraction form
    462,205.20/693,307.80 = 213,373.20/x
  3. Step 3: Cross multiply
    462,205.20x = 693,307.80 × 213,373.20
  4. Step 4: Simplify right side
    462,205.20x = 147,933,303,870.96
  5. Step 5: Solve for x
    x = 147,933,303,870.96/462,205.20
  6. Step 6: Final answer
    x = 320,059.80

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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.