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Finding the Fourth Proportional to 533,254.50, 800,176.98 and 319,497.12

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Solution

The fourth proportional to 533,254.50, 800,176.98 and 319,497.12 is: 479,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,254.50 : 800,176.98 = 319,497.12 : x
  2. Step 2: Convert to fraction form
    533,254.50/800,176.98 = 319,497.12/x
  3. Step 3: Cross multiply
    533,254.50x = 800,176.98 × 319,497.12
  4. Step 4: Simplify right side
    533,254.50x = 255,654,240,600.30
  5. Step 5: Solve for x
    x = 255,654,240,600.30/533,254.50
  6. Step 6: Final answer
    x = 479,422.57

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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.