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Finding the Fourth Proportional to 419,596.48, 579,257.58 and 284,345.02

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Solution

The fourth proportional to 419,596.48, 579,257.58 and 284,345.02 is: 392,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,596.48 : 579,257.58 = 284,345.02 : x
  2. Step 2: Convert to fraction form
    419,596.48/579,257.58 = 284,345.02/x
  3. Step 3: Cross multiply
    419,596.48x = 579,257.58 × 284,345.02
  4. Step 4: Simplify right side
    419,596.48x = 164,709,008,170.25
  5. Step 5: Solve for x
    x = 164,709,008,170.25/419,596.48
  6. Step 6: Final answer
    x = 392,541.44

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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.