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Finding the Fourth Proportional to 493,617.10, 740,272.41 and 178,033

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Solution

The fourth proportional to 493,617.10, 740,272.41 and 178,033 is: 266,994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,617.10 : 740,272.41 = 178,033 : x
  2. Step 2: Convert to fraction form
    493,617.10/740,272.41 = 178,033/x
  3. Step 3: Cross multiply
    493,617.10x = 740,272.41 × 178,033
  4. Step 4: Simplify right side
    493,617.10x = 131,792,917,969.53
  5. Step 5: Solve for x
    x = 131,792,917,969.53/493,617.10
  6. Step 6: Final answer
    x = 266,994.23

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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.