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Finding the Fourth Proportional to 409,573.98, 565,143.54 and 228,246.12

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Solution

The fourth proportional to 409,573.98, 565,143.54 and 228,246.12 is: 314,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,573.98 : 565,143.54 = 228,246.12 : x
  2. Step 2: Convert to fraction form
    409,573.98/565,143.54 = 228,246.12/x
  3. Step 3: Cross multiply
    409,573.98x = 565,143.54 × 228,246.12
  4. Step 4: Simplify right side
    409,573.98x = 128,991,820,248.07
  5. Step 5: Solve for x
    x = 128,991,820,248.07/409,573.98
  6. Step 6: Final answer
    x = 314,941.44

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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.