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Finding the Fourth Proportional to 498,103.60, 747,252.60 and 198,533.20

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Solution

The fourth proportional to 498,103.60, 747,252.60 and 198,533.20 is: 297,838.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,103.60 : 747,252.60 = 198,533.20 : x
  2. Step 2: Convert to fraction form
    498,103.60/747,252.60 = 198,533.20/x
  3. Step 3: Cross multiply
    498,103.60x = 747,252.60 × 198,533.20
  4. Step 4: Simplify right side
    498,103.60x = 148,354,449,886.32
  5. Step 5: Solve for x
    x = 148,354,449,886.32/498,103.60
  6. Step 6: Final answer
    x = 297,838.54

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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.