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Finding the Fourth Proportional to 296,252, 408,827.76 and 162,116

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Solution

The fourth proportional to 296,252, 408,827.76 and 162,116 is: 223,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,252 : 408,827.76 = 162,116 : x
  2. Step 2: Convert to fraction form
    296,252/408,827.76 = 162,116/x
  3. Step 3: Cross multiply
    296,252x = 408,827.76 × 162,116
  4. Step 4: Simplify right side
    296,252x = 66,277,521,140.16
  5. Step 5: Solve for x
    x = 66,277,521,140.16/296,252
  6. Step 6: Final answer
    x = 223,720.08

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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.