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Finding the Fourth Proportional to 409,952.02, 565,734.65 and 228,659.28

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Solution

The fourth proportional to 409,952.02, 565,734.65 and 228,659.28 is: 315,550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,952.02 : 565,734.65 = 228,659.28 : x
  2. Step 2: Convert to fraction form
    409,952.02/565,734.65 = 228,659.28/x
  3. Step 3: Cross multiply
    409,952.02x = 565,734.65 × 228,659.28
  4. Step 4: Simplify right side
    409,952.02x = 129,360,477,740.05
  5. Step 5: Solve for x
    x = 129,360,477,740.05/409,952.02
  6. Step 6: Final answer
    x = 315,550.29

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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.