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Finding the Fourth Proportional to 297,048.25, 409,952.51 and 162,938.17

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Solution

The fourth proportional to 297,048.25, 409,952.51 and 162,938.17 is: 224,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,048.25 : 409,952.51 = 162,938.17 : x
  2. Step 2: Convert to fraction form
    297,048.25/409,952.51 = 162,938.17/x
  3. Step 3: Cross multiply
    297,048.25x = 409,952.51 × 162,938.17
  4. Step 4: Simplify right side
    297,048.25x = 66,796,911,766.31
  5. Step 5: Solve for x
    x = 66,796,911,766.31/297,048.25
  6. Step 6: Final answer
    x = 224,868.90

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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.