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Finding the Fourth Proportional to 343,101.36, 514,476.54 and 143,367.24

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Solution

The fourth proportional to 343,101.36, 514,476.54 and 143,367.24 is: 214,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,101.36 : 514,476.54 = 143,367.24 : x
  2. Step 2: Convert to fraction form
    343,101.36/514,476.54 = 143,367.24/x
  3. Step 3: Cross multiply
    343,101.36x = 514,476.54 × 143,367.24
  4. Step 4: Simplify right side
    343,101.36x = 73,759,081,584.55
  5. Step 5: Solve for x
    x = 73,759,081,584.55/343,101.36
  6. Step 6: Final answer
    x = 214,977.53

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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.