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Finding the Fourth Proportional to 533,397.60, 800,211.60 and 159,458.40

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Solution

The fourth proportional to 533,397.60, 800,211.60 and 159,458.40 is: 239,222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,397.60 : 800,211.60 = 159,458.40 : x
  2. Step 2: Convert to fraction form
    533,397.60/800,211.60 = 159,458.40/x
  3. Step 3: Cross multiply
    533,397.60x = 800,211.60 × 159,458.40
  4. Step 4: Simplify right side
    533,397.60x = 127,600,461,397.44
  5. Step 5: Solve for x
    x = 127,600,461,397.44/533,397.60
  6. Step 6: Final answer
    x = 239,222.04

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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.