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Finding the Fourth Proportional to 442,065.60, 662,709.60 and 264,643.20

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Solution

The fourth proportional to 442,065.60, 662,709.60 and 264,643.20 is: 396,732.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,065.60 : 662,709.60 = 264,643.20 : x
  2. Step 2: Convert to fraction form
    442,065.60/662,709.60 = 264,643.20/x
  3. Step 3: Cross multiply
    442,065.60x = 662,709.60 × 264,643.20
  4. Step 4: Simplify right side
    442,065.60x = 175,381,589,214.72
  5. Step 5: Solve for x
    x = 175,381,589,214.72/442,065.60
  6. Step 6: Final answer
    x = 396,732.04

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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.