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Finding the Fourth Proportional to 409,848.20, 565,593.72 and 228,571.64

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Solution

The fourth proportional to 409,848.20, 565,593.72 and 228,571.64 is: 315,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,848.20 : 565,593.72 = 228,571.64 : x
  2. Step 2: Convert to fraction form
    409,848.20/565,593.72 = 228,571.64/x
  3. Step 3: Cross multiply
    409,848.20x = 565,593.72 × 228,571.64
  4. Step 4: Simplify right side
    409,848.20x = 129,278,684,154.10
  5. Step 5: Solve for x
    x = 129,278,684,154.10/409,848.20
  6. Step 6: Final answer
    x = 315,430.65

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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.