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Finding the Fourth Proportional to 293,815.80, 440,738.10 and 153,847.80

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Solution

The fourth proportional to 293,815.80, 440,738.10 and 153,847.80 is: 230,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,815.80 : 440,738.10 = 153,847.80 : x
  2. Step 2: Convert to fraction form
    293,815.80/440,738.10 = 153,847.80/x
  3. Step 3: Cross multiply
    293,815.80x = 440,738.10 × 153,847.80
  4. Step 4: Simplify right side
    293,815.80x = 67,806,587,061.18
  5. Step 5: Solve for x
    x = 67,806,587,061.18/293,815.80
  6. Step 6: Final answer
    x = 230,779.24

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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.