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Finding the Fourth Proportional to 275,704.90, 413,557.35 and 98,412.10

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Solution

The fourth proportional to 275,704.90, 413,557.35 and 98,412.10 is: 147,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,704.90 : 413,557.35 = 98,412.10 : x
  2. Step 2: Convert to fraction form
    275,704.90/413,557.35 = 98,412.10/x
  3. Step 3: Cross multiply
    275,704.90x = 413,557.35 × 98,412.10
  4. Step 4: Simplify right side
    275,704.90x = 40,699,047,283.94
  5. Step 5: Solve for x
    x = 40,699,047,283.94/275,704.90
  6. Step 6: Final answer
    x = 147,618.15

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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.