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Finding the Fourth Proportional to 323,732.10, 485,598.15 and 294,701.70

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Solution

The fourth proportional to 323,732.10, 485,598.15 and 294,701.70 is: 442,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,732.10 : 485,598.15 = 294,701.70 : x
  2. Step 2: Convert to fraction form
    323,732.10/485,598.15 = 294,701.70/x
  3. Step 3: Cross multiply
    323,732.10x = 485,598.15 × 294,701.70
  4. Step 4: Simplify right side
    323,732.10x = 143,106,600,321.86
  5. Step 5: Solve for x
    x = 143,106,600,321.86/323,732.10
  6. Step 6: Final answer
    x = 442,052.55

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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.