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Finding the Fourth Proportional to 410,412.54, 566,208.42 and 238,301.12

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Solution

The fourth proportional to 410,412.54, 566,208.42 and 238,301.12 is: 328,762.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,412.54 : 566,208.42 = 238,301.12 : x
  2. Step 2: Convert to fraction form
    410,412.54/566,208.42 = 238,301.12/x
  3. Step 3: Cross multiply
    410,412.54x = 566,208.42 × 238,301.12
  4. Step 4: Simplify right side
    410,412.54x = 134,928,100,639.43
  5. Step 5: Solve for x
    x = 134,928,100,639.43/410,412.54
  6. Step 6: Final answer
    x = 328,762.13

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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.