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Finding the Fourth Proportional to 400,227.21, 600,547.77 and 175,745.25

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Solution

The fourth proportional to 400,227.21, 600,547.77 and 175,745.25 is: 263,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,227.21 : 600,547.77 = 175,745.25 : x
  2. Step 2: Convert to fraction form
    400,227.21/600,547.77 = 175,745.25/x
  3. Step 3: Cross multiply
    400,227.21x = 600,547.77 × 175,745.25
  4. Step 4: Simplify right side
    400,227.21x = 105,543,417,975.59
  5. Step 5: Solve for x
    x = 105,543,417,975.59/400,227.21
  6. Step 6: Final answer
    x = 263,708.75

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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.