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Finding the Fourth Proportional to 409,977.45, 565,769.73 and 228,684.69

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Solution

The fourth proportional to 409,977.45, 565,769.73 and 228,684.69 is: 315,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,977.45 : 565,769.73 = 228,684.69 : x
  2. Step 2: Convert to fraction form
    409,977.45/565,769.73 = 228,684.69/x
  3. Step 3: Cross multiply
    409,977.45x = 565,769.73 × 228,684.69
  4. Step 4: Simplify right side
    409,977.45x = 129,382,875,316.43
  5. Step 5: Solve for x
    x = 129,382,875,316.43/409,977.45
  6. Step 6: Final answer
    x = 315,585.35

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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.