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Finding the Fourth Proportional to 493,118.30, 739,969.05 and 177,534.20

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Solution

The fourth proportional to 493,118.30, 739,969.05 and 177,534.20 is: 266,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,118.30 : 739,969.05 = 177,534.20 : x
  2. Step 2: Convert to fraction form
    493,118.30/739,969.05 = 177,534.20/x
  3. Step 3: Cross multiply
    493,118.30x = 739,969.05 × 177,534.20
  4. Step 4: Simplify right side
    493,118.30x = 131,369,813,316.51
  5. Step 5: Solve for x
    x = 131,369,813,316.51/493,118.30
  6. Step 6: Final answer
    x = 266,406.28

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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.