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Finding the Fourth Proportional to 296,144.88, 408,683.16 and 162,006

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Solution

The fourth proportional to 296,144.88, 408,683.16 and 162,006 is: 223,570.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,144.88 : 408,683.16 = 162,006 : x
  2. Step 2: Convert to fraction form
    296,144.88/408,683.16 = 162,006/x
  3. Step 3: Cross multiply
    296,144.88x = 408,683.16 × 162,006
  4. Step 4: Simplify right side
    296,144.88x = 66,209,124,018.96
  5. Step 5: Solve for x
    x = 66,209,124,018.96/296,144.88
  6. Step 6: Final answer
    x = 223,570.04

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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.