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Finding the Fourth Proportional to 442,638.02, 610,702.00 and 261,414.09

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Solution

The fourth proportional to 442,638.02, 610,702.00 and 261,414.09 is: 360,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,638.02 : 610,702.00 = 261,414.09 : x
  2. Step 2: Convert to fraction form
    442,638.02/610,702.00 = 261,414.09/x
  3. Step 3: Cross multiply
    442,638.02x = 610,702.00 × 261,414.09
  4. Step 4: Simplify right side
    442,638.02x = 159,646,106,937.65
  5. Step 5: Solve for x
    x = 159,646,106,937.65/442,638.02
  6. Step 6: Final answer
    x = 360,669.66

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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.