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Finding the Fourth Proportional to 297,270.78, 410,206.56 and 176,391.24

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Solution

The fourth proportional to 297,270.78, 410,206.56 and 176,391.24 is: 243,403.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,270.78 : 410,206.56 = 176,391.24 : x
  2. Step 2: Convert to fraction form
    297,270.78/410,206.56 = 176,391.24/x
  3. Step 3: Cross multiply
    297,270.78x = 410,206.56 × 176,391.24
  4. Step 4: Simplify right side
    297,270.78x = 72,356,843,774.53
  5. Step 5: Solve for x
    x = 72,356,843,774.53/297,270.78
  6. Step 6: Final answer
    x = 243,403.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.