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Finding the Fourth Proportional to 467,592.60, 700,352.10 and 186,965.40

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Solution

The fourth proportional to 467,592.60, 700,352.10 and 186,965.40 is: 280,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,592.60 : 700,352.10 = 186,965.40 : x
  2. Step 2: Convert to fraction form
    467,592.60/700,352.10 = 186,965.40/x
  3. Step 3: Cross multiply
    467,592.60x = 700,352.10 × 186,965.40
  4. Step 4: Simplify right side
    467,592.60x = 130,941,610,517.34
  5. Step 5: Solve for x
    x = 130,941,610,517.34/467,592.60
  6. Step 6: Final answer
    x = 280,033.54

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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.