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Finding the Fourth Proportional to 413,724.20, 571,013.70 and 243,948.20

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Solution

The fourth proportional to 413,724.20, 571,013.70 and 243,948.20 is: 336,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,724.20 : 571,013.70 = 243,948.20 : x
  2. Step 2: Convert to fraction form
    413,724.20/571,013.70 = 243,948.20/x
  3. Step 3: Cross multiply
    413,724.20x = 571,013.70 × 243,948.20
  4. Step 4: Simplify right side
    413,724.20x = 139,297,764,290.34
  5. Step 5: Solve for x
    x = 139,297,764,290.34/413,724.20
  6. Step 6: Final answer
    x = 336,692.33

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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.