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Finding the Fourth Proportional to 473,163.25, 709,856.75 and 153,314.59

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Solution

The fourth proportional to 473,163.25, 709,856.75 and 153,314.59 is: 230,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,163.25 : 709,856.75 = 153,314.59 : x
  2. Step 2: Convert to fraction form
    473,163.25/709,856.75 = 153,314.59/x
  3. Step 3: Cross multiply
    473,163.25x = 709,856.75 × 153,314.59
  4. Step 4: Simplify right side
    473,163.25x = 108,831,396,584.98
  5. Step 5: Solve for x
    x = 108,831,396,584.98/473,163.25
  6. Step 6: Final answer
    x = 230,008.13

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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.