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Finding the Fourth Proportional to 652,081.80, 978,122.70 and 202,831.05

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Solution

The fourth proportional to 652,081.80, 978,122.70 and 202,831.05 is: 304,246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,081.80 : 978,122.70 = 202,831.05 : x
  2. Step 2: Convert to fraction form
    652,081.80/978,122.70 = 202,831.05/x
  3. Step 3: Cross multiply
    652,081.80x = 978,122.70 × 202,831.05
  4. Step 4: Simplify right side
    652,081.80x = 198,393,654,269.84
  5. Step 5: Solve for x
    x = 198,393,654,269.84/652,081.80
  6. Step 6: Final answer
    x = 304,246.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.