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Finding the Fourth Proportional to 409,563, 565,178.76 and 228,294.72

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Solution

The fourth proportional to 409,563, 565,178.76 and 228,294.72 is: 315,036.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,563 : 565,178.76 = 228,294.72 : x
  2. Step 2: Convert to fraction form
    409,563/565,178.76 = 228,294.72/x
  3. Step 3: Cross multiply
    409,563x = 565,178.76 × 228,294.72
  4. Step 4: Simplify right side
    409,563x = 129,027,326,764.15
  5. Step 5: Solve for x
    x = 129,027,326,764.15/409,563
  6. Step 6: Final answer
    x = 315,036.58

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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.