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Finding the Fourth Proportional to 467,577.80, 700,848.30 and 257,366.60

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Solution

The fourth proportional to 467,577.80, 700,848.30 and 257,366.60 is: 385,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,577.80 : 700,848.30 = 257,366.60 : x
  2. Step 2: Convert to fraction form
    467,577.80/700,848.30 = 257,366.60/x
  3. Step 3: Cross multiply
    467,577.80x = 700,848.30 × 257,366.60
  4. Step 4: Simplify right side
    467,577.80x = 180,374,944,086.78
  5. Step 5: Solve for x
    x = 180,374,944,086.78/467,577.80
  6. Step 6: Final answer
    x = 385,764.56

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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.