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Finding the Fourth Proportional to 409,384.90, 564,992.76 and 228,126.34

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Solution

The fourth proportional to 409,384.90, 564,992.76 and 228,126.34 is: 314,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,384.90 : 564,992.76 = 228,126.34 : x
  2. Step 2: Convert to fraction form
    409,384.90/564,992.76 = 228,126.34/x
  3. Step 3: Cross multiply
    409,384.90x = 564,992.76 × 228,126.34
  4. Step 4: Simplify right side
    409,384.90x = 128,889,730,465.30
  5. Step 5: Solve for x
    x = 128,889,730,465.30/409,384.90
  6. Step 6: Final answer
    x = 314,837.53

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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.