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Finding the Fourth Proportional to 367,340.40, 551,010.60 and 314,196.30

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Solution

The fourth proportional to 367,340.40, 551,010.60 and 314,196.30 is: 471,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,340.40 : 551,010.60 = 314,196.30 : x
  2. Step 2: Convert to fraction form
    367,340.40/551,010.60 = 314,196.30/x
  3. Step 3: Cross multiply
    367,340.40x = 551,010.60 × 314,196.30
  4. Step 4: Simplify right side
    367,340.40x = 173,125,491,780.78
  5. Step 5: Solve for x
    x = 173,125,491,780.78/367,340.40
  6. Step 6: Final answer
    x = 471,294.45

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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.