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Finding the Fourth Proportional to 382,776.42, 573,778.65 and 240,723.21

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Solution

The fourth proportional to 382,776.42, 573,778.65 and 240,723.21 is: 360,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,776.42 : 573,778.65 = 240,723.21 : x
  2. Step 2: Convert to fraction form
    382,776.42/573,778.65 = 240,723.21/x
  3. Step 3: Cross multiply
    382,776.42x = 573,778.65 × 240,723.21
  4. Step 4: Simplify right side
    382,776.42x = 138,121,835,588.57
  5. Step 5: Solve for x
    x = 138,121,835,588.57/382,776.42
  6. Step 6: Final answer
    x = 360,842.07

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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.