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Finding the Fourth Proportional to 409,583.22, 565,223.58 and 228,293.10

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Solution

The fourth proportional to 409,583.22, 565,223.58 and 228,293.10 is: 315,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,583.22 : 565,223.58 = 228,293.10 : x
  2. Step 2: Convert to fraction form
    409,583.22/565,223.58 = 228,293.10/x
  3. Step 3: Cross multiply
    409,583.22x = 565,223.58 × 228,293.10
  4. Step 4: Simplify right side
    409,583.22x = 129,036,643,271.30
  5. Step 5: Solve for x
    x = 129,036,643,271.30/409,583.22
  6. Step 6: Final answer
    x = 315,043.77

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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.