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Finding the Fourth Proportional to 414,543.80, 572,019 and 261,524

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Solution

The fourth proportional to 414,543.80, 572,019 and 261,524 is: 360,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,543.80 : 572,019 = 261,524 : x
  2. Step 2: Convert to fraction form
    414,543.80/572,019 = 261,524/x
  3. Step 3: Cross multiply
    414,543.80x = 572,019 × 261,524
  4. Step 4: Simplify right side
    414,543.80x = 149,596,696,956
  5. Step 5: Solve for x
    x = 149,596,696,956/414,543.80
  6. Step 6: Final answer
    x = 360,870.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.