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Finding the Fourth Proportional to 616,726.80, 924,652.80 and 279,928.80

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Solution

The fourth proportional to 616,726.80, 924,652.80 and 279,928.80 is: 419,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,726.80 : 924,652.80 = 279,928.80 : x
  2. Step 2: Convert to fraction form
    616,726.80/924,652.80 = 279,928.80/x
  3. Step 3: Cross multiply
    616,726.80x = 924,652.80 × 279,928.80
  4. Step 4: Simplify right side
    616,726.80x = 258,836,948,720.64
  5. Step 5: Solve for x
    x = 258,836,948,720.64/616,726.80
  6. Step 6: Final answer
    x = 419,694.67

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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.