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Finding the Fourth Proportional to 538,856.80, 806,902.80 and 513,973.60

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Solution

The fourth proportional to 538,856.80, 806,902.80 and 513,973.60 is: 769,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,856.80 : 806,902.80 = 513,973.60 : x
  2. Step 2: Convert to fraction form
    538,856.80/806,902.80 = 513,973.60/x
  3. Step 3: Cross multiply
    538,856.80x = 806,902.80 × 513,973.60
  4. Step 4: Simplify right side
    538,856.80x = 414,726,736,966.08
  5. Step 5: Solve for x
    x = 414,726,736,966.08/538,856.80
  6. Step 6: Final answer
    x = 769,641.84

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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.