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Finding the Fourth Proportional to 294,737.32, 406,738.02 and 160,601.32

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Solution

The fourth proportional to 294,737.32, 406,738.02 and 160,601.32 is: 221,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,737.32 : 406,738.02 = 160,601.32 : x
  2. Step 2: Convert to fraction form
    294,737.32/406,738.02 = 160,601.32/x
  3. Step 3: Cross multiply
    294,737.32x = 406,738.02 × 160,601.32
  4. Step 4: Simplify right side
    294,737.32x = 65,322,662,906.19
  5. Step 5: Solve for x
    x = 65,322,662,906.19/294,737.32
  6. Step 6: Final answer
    x = 221,630.10

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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.