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Finding the Fourth Proportional to 493,114.30, 739,963.05 and 177,530.20

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Solution

The fourth proportional to 493,114.30, 739,963.05 and 177,530.20 is: 266,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,114.30 : 739,963.05 = 177,530.20 : x
  2. Step 2: Convert to fraction form
    493,114.30/739,963.05 = 177,530.20/x
  3. Step 3: Cross multiply
    493,114.30x = 739,963.05 × 177,530.20
  4. Step 4: Simplify right side
    493,114.30x = 131,365,788,259.11
  5. Step 5: Solve for x
    x = 131,365,788,259.11/493,114.30
  6. Step 6: Final answer
    x = 266,400.28

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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.