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Finding the Fourth Proportional to 442,937.20, 611,442.27 and 297,827.09

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Solution

The fourth proportional to 442,937.20, 611,442.27 and 297,827.09 is: 411,128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,937.20 : 611,442.27 = 297,827.09 : x
  2. Step 2: Convert to fraction form
    442,937.20/611,442.27 = 297,827.09/x
  3. Step 3: Cross multiply
    442,937.20x = 611,442.27 × 297,827.09
  4. Step 4: Simplify right side
    442,937.20x = 182,104,071,977.09
  5. Step 5: Solve for x
    x = 182,104,071,977.09/442,937.20
  6. Step 6: Final answer
    x = 411,128.42

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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.