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Finding the Fourth Proportional to 403,912.30, 564,371.30 and 403,912.30

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Solution

The fourth proportional to 403,912.30, 564,371.30 and 403,912.30 is: 564,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,912.30 : 564,371.30 = 403,912.30 : x
  2. Step 2: Convert to fraction form
    403,912.30/564,371.30 = 403,912.30/x
  3. Step 3: Cross multiply
    403,912.30x = 564,371.30 × 403,912.30
  4. Step 4: Simplify right side
    403,912.30x = 227,956,509,836.99
  5. Step 5: Solve for x
    x = 227,956,509,836.99/403,912.30
  6. Step 6: Final answer
    x = 564,371.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.