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Finding the Fourth Proportional to 259,896.31, 358,659.90 and 152,468.17

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Solution

The fourth proportional to 259,896.31, 358,659.90 and 152,468.17 is: 210,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,896.31 : 358,659.90 = 152,468.17 : x
  2. Step 2: Convert to fraction form
    259,896.31/358,659.90 = 152,468.17/x
  3. Step 3: Cross multiply
    259,896.31x = 358,659.90 × 152,468.17
  4. Step 4: Simplify right side
    259,896.31x = 54,684,218,605.38
  5. Step 5: Solve for x
    x = 54,684,218,605.38/259,896.31
  6. Step 6: Final answer
    x = 210,407.83

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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.