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Finding the Fourth Proportional to 296,012.74, 408,491.49 and 161,876.74

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Solution

The fourth proportional to 296,012.74, 408,491.49 and 161,876.74 is: 223,386.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,012.74 : 408,491.49 = 161,876.74 : x
  2. Step 2: Convert to fraction form
    296,012.74/408,491.49 = 161,876.74/x
  3. Step 3: Cross multiply
    296,012.74x = 408,491.49 × 161,876.74
  4. Step 4: Simplify right side
    296,012.74x = 66,125,270,718.94
  5. Step 5: Solve for x
    x = 66,125,270,718.94/296,012.74
  6. Step 6: Final answer
    x = 223,386.57

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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.