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Finding the Fourth Proportional to 533,851.20, 800,582.40 and 178,876.80

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Solution

The fourth proportional to 533,851.20, 800,582.40 and 178,876.80 is: 268,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,851.20 : 800,582.40 = 178,876.80 : x
  2. Step 2: Convert to fraction form
    533,851.20/800,582.40 = 178,876.80/x
  3. Step 3: Cross multiply
    533,851.20x = 800,582.40 × 178,876.80
  4. Step 4: Simplify right side
    533,851.20x = 143,205,617,848.32
  5. Step 5: Solve for x
    x = 143,205,617,848.32/533,851.20
  6. Step 6: Final answer
    x = 268,250.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.