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Finding the Fourth Proportional to 461,616.26, 692,317.47 and 146,014.34

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Solution

The fourth proportional to 461,616.26, 692,317.47 and 146,014.34 is: 218,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,616.26 : 692,317.47 = 146,014.34 : x
  2. Step 2: Convert to fraction form
    461,616.26/692,317.47 = 146,014.34/x
  3. Step 3: Cross multiply
    461,616.26x = 692,317.47 × 146,014.34
  4. Step 4: Simplify right side
    461,616.26x = 101,088,278,452.52
  5. Step 5: Solve for x
    x = 101,088,278,452.52/461,616.26
  6. Step 6: Final answer
    x = 218,987.69

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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.