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Finding the Fourth Proportional to 261,288.24, 360,581.61 and 146,592.24

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Solution

The fourth proportional to 261,288.24, 360,581.61 and 146,592.24 is: 202,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,288.24 : 360,581.61 = 146,592.24 : x
  2. Step 2: Convert to fraction form
    261,288.24/360,581.61 = 146,592.24/x
  3. Step 3: Cross multiply
    261,288.24x = 360,581.61 × 146,592.24
  4. Step 4: Simplify right side
    261,288.24x = 52,858,465,912.71
  5. Step 5: Solve for x
    x = 52,858,465,912.71/261,288.24
  6. Step 6: Final answer
    x = 202,299.44

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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.