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Finding the Fourth Proportional to 533,700.52, 800,647.80 and 253,215.16

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Solution

The fourth proportional to 533,700.52, 800,647.80 and 253,215.16 is: 379,868.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,700.52 : 800,647.80 = 253,215.16 : x
  2. Step 2: Convert to fraction form
    533,700.52/800,647.80 = 253,215.16/x
  3. Step 3: Cross multiply
    533,700.52x = 800,647.80 × 253,215.16
  4. Step 4: Simplify right side
    533,700.52x = 202,736,160,780.65
  5. Step 5: Solve for x
    x = 202,736,160,780.65/533,700.52
  6. Step 6: Final answer
    x = 379,868.77

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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.