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Finding the Fourth Proportional to 519,735.06, 717,922.72 and 418,143.24

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Solution

The fourth proportional to 519,735.06, 717,922.72 and 418,143.24 is: 577,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,735.06 : 717,922.72 = 418,143.24 : x
  2. Step 2: Convert to fraction form
    519,735.06/717,922.72 = 418,143.24/x
  3. Step 3: Cross multiply
    519,735.06x = 717,922.72 × 418,143.24
  4. Step 4: Simplify right side
    519,735.06x = 300,194,532,210.41
  5. Step 5: Solve for x
    x = 300,194,532,210.41/519,735.06
  6. Step 6: Final answer
    x = 577,591.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.