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Finding the Fourth Proportional to 275,830.80, 413,746.20 and 98,343.60

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Solution

The fourth proportional to 275,830.80, 413,746.20 and 98,343.60 is: 147,515.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,830.80 : 413,746.20 = 98,343.60 : x
  2. Step 2: Convert to fraction form
    275,830.80/413,746.20 = 98,343.60/x
  3. Step 3: Cross multiply
    275,830.80x = 413,746.20 × 98,343.60
  4. Step 4: Simplify right side
    275,830.80x = 40,689,290,794.32
  5. Step 5: Solve for x
    x = 40,689,290,794.32/275,830.80
  6. Step 6: Final answer
    x = 147,515.40

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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.