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Finding the Fourth Proportional to 522,677.14, 783,702.03 and 181,008

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Solution

The fourth proportional to 522,677.14, 783,702.03 and 181,008 is: 271,403.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,677.14 : 783,702.03 = 181,008 : x
  2. Step 2: Convert to fraction form
    522,677.14/783,702.03 = 181,008/x
  3. Step 3: Cross multiply
    522,677.14x = 783,702.03 × 181,008
  4. Step 4: Simplify right side
    522,677.14x = 141,856,337,725.02
  5. Step 5: Solve for x
    x = 141,856,337,725.02/522,677.14
  6. Step 6: Final answer
    x = 271,403.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.