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Finding the Fourth Proportional to 262,710.92, 362,400.98 and 160,785.78

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Solution

The fourth proportional to 262,710.92, 362,400.98 and 160,785.78 is: 221,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,710.92 : 362,400.98 = 160,785.78 : x
  2. Step 2: Convert to fraction form
    262,710.92/362,400.98 = 160,785.78/x
  3. Step 3: Cross multiply
    262,710.92x = 362,400.98 × 160,785.78
  4. Step 4: Simplify right side
    262,710.92x = 58,268,923,438.14
  5. Step 5: Solve for x
    x = 58,268,923,438.14/262,710.92
  6. Step 6: Final answer
    x = 221,798.64

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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.