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Finding the Fourth Proportional to 410,905.30, 567,038.40 and 229,618.72

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Solution

The fourth proportional to 410,905.30, 567,038.40 and 229,618.72 is: 316,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,905.30 : 567,038.40 = 229,618.72 : x
  2. Step 2: Convert to fraction form
    410,905.30/567,038.40 = 229,618.72/x
  3. Step 3: Cross multiply
    410,905.30x = 567,038.40 × 229,618.72
  4. Step 4: Simplify right side
    410,905.30x = 130,202,631,598.85
  5. Step 5: Solve for x
    x = 130,202,631,598.85/410,905.30
  6. Step 6: Final answer
    x = 316,867.73

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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.