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Finding the Fourth Proportional to 410,104.71, 566,224.34 and 265,261.59

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Solution

The fourth proportional to 410,104.71, 566,224.34 and 265,261.59 is: 366,242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,104.71 : 566,224.34 = 265,261.59 : x
  2. Step 2: Convert to fraction form
    410,104.71/566,224.34 = 265,261.59/x
  3. Step 3: Cross multiply
    410,104.71x = 566,224.34 × 265,261.59
  4. Step 4: Simplify right side
    410,104.71x = 150,197,567,398.79
  5. Step 5: Solve for x
    x = 150,197,567,398.79/410,104.71
  6. Step 6: Final answer
    x = 366,242.00

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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.