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Finding the Fourth Proportional to 411,077.76, 567,303.84 and 238,994.88

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Solution

The fourth proportional to 411,077.76, 567,303.84 and 238,994.88 is: 329,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,077.76 : 567,303.84 = 238,994.88 : x
  2. Step 2: Convert to fraction form
    411,077.76/567,303.84 = 238,994.88/x
  3. Step 3: Cross multiply
    411,077.76x = 567,303.84 × 238,994.88
  4. Step 4: Simplify right side
    411,077.76x = 135,582,713,164.34
  5. Step 5: Solve for x
    x = 135,582,713,164.34/411,077.76
  6. Step 6: Final answer
    x = 329,822.55

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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.