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Finding the Fourth Proportional to 410,149.36, 566,019.76 and 238,054.48

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Solution

The fourth proportional to 410,149.36, 566,019.76 and 238,054.48 is: 328,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,149.36 : 566,019.76 = 238,054.48 : x
  2. Step 2: Convert to fraction form
    410,149.36/566,019.76 = 238,054.48/x
  3. Step 3: Cross multiply
    410,149.36x = 566,019.76 × 238,054.48
  4. Step 4: Simplify right side
    410,149.36x = 134,743,539,636.53
  5. Step 5: Solve for x
    x = 134,743,539,636.53/410,149.36
  6. Step 6: Final answer
    x = 328,523.10

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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.