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Finding the Fourth Proportional to 410,669.56, 566,718.02 and 229,384.08

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Solution

The fourth proportional to 410,669.56, 566,718.02 and 229,384.08 is: 316,546.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,669.56 : 566,718.02 = 229,384.08 : x
  2. Step 2: Convert to fraction form
    410,669.56/566,718.02 = 229,384.08/x
  3. Step 3: Cross multiply
    410,669.56x = 566,718.02 × 229,384.08
  4. Step 4: Simplify right side
    410,669.56x = 129,996,091,637.12
  5. Step 5: Solve for x
    x = 129,996,091,637.12/410,669.56
  6. Step 6: Final answer
    x = 316,546.69

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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.