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Finding the Fourth Proportional to 652,146.40, 978,392.40 and 231,378.40

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Solution

The fourth proportional to 652,146.40, 978,392.40 and 231,378.40 is: 347,128.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,146.40 : 978,392.40 = 231,378.40 : x
  2. Step 2: Convert to fraction form
    652,146.40/978,392.40 = 231,378.40/x
  3. Step 3: Cross multiply
    652,146.40x = 978,392.40 × 231,378.40
  4. Step 4: Simplify right side
    652,146.40x = 226,378,868,084.16
  5. Step 5: Solve for x
    x = 226,378,868,084.16/652,146.40
  6. Step 6: Final answer
    x = 347,128.91

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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.