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Finding the Fourth Proportional to 493,297.77, 739,967.31 and 156,331.02

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Solution

The fourth proportional to 493,297.77, 739,967.31 and 156,331.02 is: 234,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,297.77 : 739,967.31 = 156,331.02 : x
  2. Step 2: Convert to fraction form
    493,297.77/739,967.31 = 156,331.02/x
  3. Step 3: Cross multiply
    493,297.77x = 739,967.31 × 156,331.02
  4. Step 4: Simplify right side
    493,297.77x = 115,679,844,338.96
  5. Step 5: Solve for x
    x = 115,679,844,338.96/493,297.77
  6. Step 6: Final answer
    x = 234,503.08

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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.