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Finding the Fourth Proportional to 295,697.12, 443,432.07 and 232,641.05

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Solution

The fourth proportional to 295,697.12, 443,432.07 and 232,641.05 is: 348,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,697.12 : 443,432.07 = 232,641.05 : x
  2. Step 2: Convert to fraction form
    295,697.12/443,432.07 = 232,641.05/x
  3. Step 3: Cross multiply
    295,697.12x = 443,432.07 × 232,641.05
  4. Step 4: Simplify right side
    295,697.12x = 103,160,500,151.31
  5. Step 5: Solve for x
    x = 103,160,500,151.31/295,697.12
  6. Step 6: Final answer
    x = 348,872.19

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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.