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Finding the Fourth Proportional to 409,058.40, 564,499.18 and 227,772.51

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Solution

The fourth proportional to 409,058.40, 564,499.18 and 227,772.51 is: 314,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,058.40 : 564,499.18 = 227,772.51 : x
  2. Step 2: Convert to fraction form
    409,058.40/564,499.18 = 227,772.51/x
  3. Step 3: Cross multiply
    409,058.40x = 564,499.18 × 227,772.51
  4. Step 4: Simplify right side
    409,058.40x = 128,577,392,008.17
  5. Step 5: Solve for x
    x = 128,577,392,008.17/409,058.40
  6. Step 6: Final answer
    x = 314,325.27

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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.