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Finding the Fourth Proportional to 409,450.60, 565,083.46 and 228,192.04

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Solution

The fourth proportional to 409,450.60, 565,083.46 and 228,192.04 is: 314,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,450.60 : 565,083.46 = 228,192.04 : x
  2. Step 2: Convert to fraction form
    409,450.60/565,083.46 = 228,192.04/x
  3. Step 3: Cross multiply
    409,450.60x = 565,083.46 × 228,192.04
  4. Step 4: Simplify right side
    409,450.60x = 128,947,547,507.66
  5. Step 5: Solve for x
    x = 128,947,547,507.66/409,450.60
  6. Step 6: Final answer
    x = 314,928.22

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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.