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Finding the Fourth Proportional to 409,451.46, 565,028.64 and 228,154.02

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Solution

The fourth proportional to 409,451.46, 565,028.64 and 228,154.02 is: 314,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,451.46 : 565,028.64 = 228,154.02 : x
  2. Step 2: Convert to fraction form
    409,451.46/565,028.64 = 228,154.02/x
  3. Step 3: Cross multiply
    409,451.46x = 565,028.64 × 228,154.02
  4. Step 4: Simplify right side
    409,451.46x = 128,913,555,631.13
  5. Step 5: Solve for x
    x = 128,913,555,631.13/409,451.46
  6. Step 6: Final answer
    x = 314,844.54

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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.