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Finding the Fourth Proportional to 410,259.24, 566,119.38 and 238,131.54

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Solution

The fourth proportional to 410,259.24, 566,119.38 and 238,131.54 is: 328,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,259.24 : 566,119.38 = 238,131.54 : x
  2. Step 2: Convert to fraction form
    410,259.24/566,119.38 = 238,131.54/x
  3. Step 3: Cross multiply
    410,259.24x = 566,119.38 × 238,131.54
  4. Step 4: Simplify right side
    410,259.24x = 134,810,879,783.25
  5. Step 5: Solve for x
    x = 134,810,879,783.25/410,259.24
  6. Step 6: Final answer
    x = 328,599.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.