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Finding the Fourth Proportional to 296,218.50, 408,781.80 and 162,082.50

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Solution

The fourth proportional to 296,218.50, 408,781.80 and 162,082.50 is: 223,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,218.50 : 408,781.80 = 162,082.50 : x
  2. Step 2: Convert to fraction form
    296,218.50/408,781.80 = 162,082.50/x
  3. Step 3: Cross multiply
    296,218.50x = 408,781.80 × 162,082.50
  4. Step 4: Simplify right side
    296,218.50x = 66,256,376,098.50
  5. Step 5: Solve for x
    x = 66,256,376,098.50/296,218.50
  6. Step 6: Final answer
    x = 223,674.00

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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.