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Finding the Fourth Proportional to 296,233.34, 408,800.93 and 160,267.34

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Solution

The fourth proportional to 296,233.34, 408,800.93 and 160,267.34 is: 221,168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,233.34 : 408,800.93 = 160,267.34 : x
  2. Step 2: Convert to fraction form
    296,233.34/408,800.93 = 160,267.34/x
  3. Step 3: Cross multiply
    296,233.34x = 408,800.93 × 160,267.34
  4. Step 4: Simplify right side
    296,233.34x = 65,517,434,795.28
  5. Step 5: Solve for x
    x = 65,517,434,795.28/296,233.34
  6. Step 6: Final answer
    x = 221,168.34

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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.