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Finding the Fourth Proportional to 546,632.76, 820,202.22 and 209,560.68

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Solution

The fourth proportional to 546,632.76, 820,202.22 and 209,560.68 is: 314,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,632.76 : 820,202.22 = 209,560.68 : x
  2. Step 2: Convert to fraction form
    546,632.76/820,202.22 = 209,560.68/x
  3. Step 3: Cross multiply
    546,632.76x = 820,202.22 × 209,560.68
  4. Step 4: Simplify right side
    546,632.76x = 171,882,134,960.71
  5. Step 5: Solve for x
    x = 171,882,134,960.71/546,632.76
  6. Step 6: Final answer
    x = 314,438.04

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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.