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Finding the Fourth Proportional to 410,335.74, 566,261.16 and 238,296.01

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Solution

The fourth proportional to 410,335.74, 566,261.16 and 238,296.01 is: 328,847.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,335.74 : 566,261.16 = 238,296.01 : x
  2. Step 2: Convert to fraction form
    410,335.74/566,261.16 = 238,296.01/x
  3. Step 3: Cross multiply
    410,335.74x = 566,261.16 × 238,296.01
  4. Step 4: Simplify right side
    410,335.74x = 134,937,775,939.58
  5. Step 5: Solve for x
    x = 134,937,775,939.58/410,335.74
  6. Step 6: Final answer
    x = 328,847.24

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