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Finding the Fourth Proportional to 438,141.40, 654,042.65 and 384,997.30

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Solution

The fourth proportional to 438,141.40, 654,042.65 and 384,997.30 is: 574,710.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,141.40 : 654,042.65 = 384,997.30 : x
  2. Step 2: Convert to fraction form
    438,141.40/654,042.65 = 384,997.30/x
  3. Step 3: Cross multiply
    438,141.40x = 654,042.65 × 384,997.30
  4. Step 4: Simplify right side
    438,141.40x = 251,804,654,334.85
  5. Step 5: Solve for x
    x = 251,804,654,334.85/438,141.40
  6. Step 6: Final answer
    x = 574,710.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.