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Finding the Fourth Proportional to 297,264.78, 410,198.31 and 176,385.24

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Solution

The fourth proportional to 297,264.78, 410,198.31 and 176,385.24 is: 243,395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,264.78 : 410,198.31 = 176,385.24 : x
  2. Step 2: Convert to fraction form
    297,264.78/410,198.31 = 176,385.24/x
  3. Step 3: Cross multiply
    297,264.78x = 410,198.31 × 176,385.24
  4. Step 4: Simplify right side
    297,264.78x = 72,352,927,356.94
  5. Step 5: Solve for x
    x = 72,352,927,356.94/297,264.78
  6. Step 6: Final answer
    x = 243,395.56

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1.5x scale

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.