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Finding the Fourth Proportional to 410,557.68, 566,570.36 and 229,269.02

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Solution

The fourth proportional to 410,557.68, 566,570.36 and 229,269.02 is: 316,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,557.68 : 566,570.36 = 229,269.02 : x
  2. Step 2: Convert to fraction form
    410,557.68/566,570.36 = 229,269.02/x
  3. Step 3: Cross multiply
    410,557.68x = 566,570.36 × 229,269.02
  4. Step 4: Simplify right side
    410,557.68x = 129,897,028,938.57
  5. Step 5: Solve for x
    x = 129,897,028,938.57/410,557.68
  6. Step 6: Final answer
    x = 316,391.67

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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.