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Finding the Fourth Proportional to 409,491.04, 565,098.18 and 228,199

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Solution

The fourth proportional to 409,491.04, 565,098.18 and 228,199 is: 314,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,491.04 : 565,098.18 = 228,199 : x
  2. Step 2: Convert to fraction form
    409,491.04/565,098.18 = 228,199/x
  3. Step 3: Cross multiply
    409,491.04x = 565,098.18 × 228,199
  4. Step 4: Simplify right side
    409,491.04x = 128,954,839,577.82
  5. Step 5: Solve for x
    x = 128,954,839,577.82/409,491.04
  6. Step 6: Final answer
    x = 314,914.92

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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.