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Finding the Fourth Proportional to 296,013.24, 408,492.18 and 161,877.24

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Solution

The fourth proportional to 296,013.24, 408,492.18 and 161,877.24 is: 223,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,013.24 : 408,492.18 = 161,877.24 : x
  2. Step 2: Convert to fraction form
    296,013.24/408,492.18 = 161,877.24/x
  3. Step 3: Cross multiply
    296,013.24x = 408,492.18 × 161,877.24
  4. Step 4: Simplify right side
    296,013.24x = 66,125,586,659.98
  5. Step 5: Solve for x
    x = 66,125,586,659.98/296,013.24
  6. Step 6: Final answer
    x = 223,387.26

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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.