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Finding the Fourth Proportional to 261,343.70, 360,632.40 and 146,606.30

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Solution

The fourth proportional to 261,343.70, 360,632.40 and 146,606.30 is: 202,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,343.70 : 360,632.40 = 146,606.30 : x
  2. Step 2: Convert to fraction form
    261,343.70/360,632.40 = 146,606.30/x
  3. Step 3: Cross multiply
    261,343.70x = 360,632.40 × 146,606.30
  4. Step 4: Simplify right side
    261,343.70x = 52,870,981,824.12
  5. Step 5: Solve for x
    x = 52,870,981,824.12/261,343.70
  6. Step 6: Final answer
    x = 202,304.41

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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.