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Finding the Fourth Proportional to 340,100.39, 510,347.72 and 171,633.89

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Solution

The fourth proportional to 340,100.39, 510,347.72 and 171,633.89 is: 257,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,100.39 : 510,347.72 = 171,633.89 : x
  2. Step 2: Convert to fraction form
    340,100.39/510,347.72 = 171,633.89/x
  3. Step 3: Cross multiply
    340,100.39x = 510,347.72 × 171,633.89
  4. Step 4: Simplify right side
    340,100.39x = 87,592,961,026.32
  5. Step 5: Solve for x
    x = 87,592,961,026.32/340,100.39
  6. Step 6: Final answer
    x = 257,550.31

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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.