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Finding the Fourth Proportional to 420,384.40, 580,142.78 and 229,410.10

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Solution

The fourth proportional to 420,384.40, 580,142.78 and 229,410.10 is: 316,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,384.40 : 580,142.78 = 229,410.10 : x
  2. Step 2: Convert to fraction form
    420,384.40/580,142.78 = 229,410.10/x
  3. Step 3: Cross multiply
    420,384.40x = 580,142.78 × 229,410.10
  4. Step 4: Simplify right side
    420,384.40x = 133,090,613,174.08
  5. Step 5: Solve for x
    x = 133,090,613,174.08/420,384.40
  6. Step 6: Final answer
    x = 316,592.65

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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.