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Finding the Fourth Proportional to 410,548.61, 566,555.97 and 229,259.07

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Solution

The fourth proportional to 410,548.61, 566,555.97 and 229,259.07 is: 316,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,548.61 : 566,555.97 = 229,259.07 : x
  2. Step 2: Convert to fraction form
    410,548.61/566,555.97 = 229,259.07/x
  3. Step 3: Cross multiply
    410,548.61x = 566,555.97 × 229,259.07
  4. Step 4: Simplify right side
    410,548.61x = 129,888,094,785.15
  5. Step 5: Solve for x
    x = 129,888,094,785.15/410,548.61
  6. Step 6: Final answer
    x = 316,376.89

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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.