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Finding the Fourth Proportional to 563,105.50, 777,098.14 and 321,383.22

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Solution

The fourth proportional to 563,105.50, 777,098.14 and 321,383.22 is: 443,516.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,105.50 : 777,098.14 = 321,383.22 : x
  2. Step 2: Convert to fraction form
    563,105.50/777,098.14 = 321,383.22/x
  3. Step 3: Cross multiply
    563,105.50x = 777,098.14 × 321,383.22
  4. Step 4: Simplify right side
    563,105.50x = 249,746,302,489.21
  5. Step 5: Solve for x
    x = 249,746,302,489.21/563,105.50
  6. Step 6: Final answer
    x = 443,516.01

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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.