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Finding the Fourth Proportional to 409,484.30, 565,088.87 and 228,192.25

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Solution

The fourth proportional to 409,484.30, 565,088.87 and 228,192.25 is: 314,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,484.30 : 565,088.87 = 228,192.25 : x
  2. Step 2: Convert to fraction form
    409,484.30/565,088.87 = 228,192.25/x
  3. Step 3: Cross multiply
    409,484.30x = 565,088.87 × 228,192.25
  4. Step 4: Simplify right side
    409,484.30x = 128,948,896,728.85
  5. Step 5: Solve for x
    x = 128,948,896,728.85/409,484.30
  6. Step 6: Final answer
    x = 314,905.60

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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.