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Finding the Fourth Proportional to 515,258.32, 773,109.96 and 278,767.48

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Solution

The fourth proportional to 515,258.32, 773,109.96 and 278,767.48 is: 418,271.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,258.32 : 773,109.96 = 278,767.48 : x
  2. Step 2: Convert to fraction form
    515,258.32/773,109.96 = 278,767.48/x
  3. Step 3: Cross multiply
    515,258.32x = 773,109.96 × 278,767.48
  4. Step 4: Simplify right side
    515,258.32x = 215,517,915,312.10
  5. Step 5: Solve for x
    x = 215,517,915,312.10/515,258.32
  6. Step 6: Final answer
    x = 418,271.59

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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.