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Finding the Fourth Proportional to 871,664.52, 1,200,116.34 and 743,827.08

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Solution

The fourth proportional to 871,664.52, 1,200,116.34 and 743,827.08 is: 1,024,108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,664.52 : 1,200,116.34 = 743,827.08 : x
  2. Step 2: Convert to fraction form
    871,664.52/1,200,116.34 = 743,827.08/x
  3. Step 3: Cross multiply
    871,664.52x = 1,200,116.34 × 743,827.08
  4. Step 4: Simplify right side
    871,664.52x = 892,679,032,842.49
  5. Step 5: Solve for x
    x = 892,679,032,842.49/871,664.52
  6. Step 6: Final answer
    x = 1,024,108.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.