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Finding the Fourth Proportional to 579,116.76, 867,714.36 and 409,797.60

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Solution

The fourth proportional to 579,116.76, 867,714.36 and 409,797.60 is: 614,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,116.76 : 867,714.36 = 409,797.60 : x
  2. Step 2: Convert to fraction form
    579,116.76/867,714.36 = 409,797.60/x
  3. Step 3: Cross multiply
    579,116.76x = 867,714.36 × 409,797.60
  4. Step 4: Simplify right side
    579,116.76x = 355,587,262,213.54
  5. Step 5: Solve for x
    x = 355,587,262,213.54/579,116.76
  6. Step 6: Final answer
    x = 614,016.53

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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.