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Finding the Fourth Proportional to 430,546.20, 645,560.10 and 220,594.20

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Solution

The fourth proportional to 430,546.20, 645,560.10 and 220,594.20 is: 330,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,546.20 : 645,560.10 = 220,594.20 : x
  2. Step 2: Convert to fraction form
    430,546.20/645,560.10 = 220,594.20/x
  3. Step 3: Cross multiply
    430,546.20x = 645,560.10 × 220,594.20
  4. Step 4: Simplify right side
    430,546.20x = 142,406,813,811.42
  5. Step 5: Solve for x
    x = 142,406,813,811.42/430,546.20
  6. Step 6: Final answer
    x = 330,758.50

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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.