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Finding the Fourth Proportional to 409,380.90, 564,987.24 and 228,122.34

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Solution

The fourth proportional to 409,380.90, 564,987.24 and 228,122.34 is: 314,832.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,380.90 : 564,987.24 = 228,122.34 : x
  2. Step 2: Convert to fraction form
    409,380.90/564,987.24 = 228,122.34/x
  3. Step 3: Cross multiply
    409,380.90x = 564,987.24 × 228,122.34
  4. Step 4: Simplify right side
    409,380.90x = 128,886,211,258.94
  5. Step 5: Solve for x
    x = 128,886,211,258.94/409,380.90
  6. Step 6: Final answer
    x = 314,832.01

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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.