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Finding the Fourth Proportional to 383,856.30, 575,784.45 and 347,114.70

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Solution

The fourth proportional to 383,856.30, 575,784.45 and 347,114.70 is: 520,672.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,856.30 : 575,784.45 = 347,114.70 : x
  2. Step 2: Convert to fraction form
    383,856.30/575,784.45 = 347,114.70/x
  3. Step 3: Cross multiply
    383,856.30x = 575,784.45 × 347,114.70
  4. Step 4: Simplify right side
    383,856.30x = 199,863,246,626.42
  5. Step 5: Solve for x
    x = 199,863,246,626.42/383,856.30
  6. Step 6: Final answer
    x = 520,672.05

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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.