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Finding the Fourth Proportional to 340,327.98, 510,807.06 and 171,966.78

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Solution

The fourth proportional to 340,327.98, 510,807.06 and 171,966.78 is: 258,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,327.98 : 510,807.06 = 171,966.78 : x
  2. Step 2: Convert to fraction form
    340,327.98/510,807.06 = 171,966.78/x
  3. Step 3: Cross multiply
    340,327.98x = 510,807.06 × 171,966.78
  4. Step 4: Simplify right side
    340,327.98x = 87,841,845,309.47
  5. Step 5: Solve for x
    x = 87,841,845,309.47/340,327.98
  6. Step 6: Final answer
    x = 258,109.38

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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.