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Finding the Fourth Proportional to 409,409.41, 564,977.46 and 228,117.44

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Solution

The fourth proportional to 409,409.41, 564,977.46 and 228,117.44 is: 314,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,409.41 : 564,977.46 = 228,117.44 : x
  2. Step 2: Convert to fraction form
    409,409.41/564,977.46 = 228,117.44/x
  3. Step 3: Cross multiply
    409,409.41x = 564,977.46 × 228,117.44
  4. Step 4: Simplify right side
    409,409.41x = 128,881,210,587.05
  5. Step 5: Solve for x
    x = 128,881,210,587.05/409,409.41
  6. Step 6: Final answer
    x = 314,797.87

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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.