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Finding the Fourth Proportional to 391,346.20, 587,732.10 and 342,357.40

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Solution

The fourth proportional to 391,346.20, 587,732.10 and 342,357.40 is: 514,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,346.20 : 587,732.10 = 342,357.40 : x
  2. Step 2: Convert to fraction form
    391,346.20/587,732.10 = 342,357.40/x
  3. Step 3: Cross multiply
    391,346.20x = 587,732.10 × 342,357.40
  4. Step 4: Simplify right side
    391,346.20x = 201,214,433,652.54
  5. Step 5: Solve for x
    x = 201,214,433,652.54/391,346.20
  6. Step 6: Final answer
    x = 514,159.67

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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.