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Finding the Fourth Proportional to 408,564.34, 612,850.80 and 124,301.18

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Solution

The fourth proportional to 408,564.34, 612,850.80 and 124,301.18 is: 186,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,564.34 : 612,850.80 = 124,301.18 : x
  2. Step 2: Convert to fraction form
    408,564.34/612,850.80 = 124,301.18/x
  3. Step 3: Cross multiply
    408,564.34x = 612,850.80 × 124,301.18
  4. Step 4: Simplify right side
    408,564.34x = 76,178,077,603.94
  5. Step 5: Solve for x
    x = 76,178,077,603.94/408,564.34
  6. Step 6: Final answer
    x = 186,453.08

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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.