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Finding the Fourth Proportional to 296,143.90, 408,678.14 and 167,082.19

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Solution

The fourth proportional to 296,143.90, 408,678.14 and 167,082.19 is: 230,573.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,143.90 : 408,678.14 = 167,082.19 : x
  2. Step 2: Convert to fraction form
    296,143.90/408,678.14 = 167,082.19/x
  3. Step 3: Cross multiply
    296,143.90x = 408,678.14 × 167,082.19
  4. Step 4: Simplify right side
    296,143.90x = 68,282,838,032.34
  5. Step 5: Solve for x
    x = 68,282,838,032.34/296,143.90
  6. Step 6: Final answer
    x = 230,573.17

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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.