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Finding the Fourth Proportional to 533,375.20, 800,062.80 and 475,314.40

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Solution

The fourth proportional to 533,375.20, 800,062.80 and 475,314.40 is: 712,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,375.20 : 800,062.80 = 475,314.40 : x
  2. Step 2: Convert to fraction form
    533,375.20/800,062.80 = 475,314.40/x
  3. Step 3: Cross multiply
    533,375.20x = 800,062.80 × 475,314.40
  4. Step 4: Simplify right side
    533,375.20x = 380,281,369,744.32
  5. Step 5: Solve for x
    x = 380,281,369,744.32/533,375.20
  6. Step 6: Final answer
    x = 712,971.60

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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.