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Finding the Fourth Proportional to 533,215.65, 800,025.48 and 320,132.36

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Solution

The fourth proportional to 533,215.65, 800,025.48 and 320,132.36 is: 480,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,215.65 : 800,025.48 = 320,132.36 : x
  2. Step 2: Convert to fraction form
    533,215.65/800,025.48 = 320,132.36/x
  3. Step 3: Cross multiply
    533,215.65x = 800,025.48 × 320,132.36
  4. Step 4: Simplify right side
    533,215.65x = 256,114,044,972.53
  5. Step 5: Solve for x
    x = 256,114,044,972.53/533,215.65
  6. Step 6: Final answer
    x = 480,319.82

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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.