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Finding the Fourth Proportional to 343,194.88, 514,442.40 and 209,992

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Solution

The fourth proportional to 343,194.88, 514,442.40 and 209,992 is: 314,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,194.88 : 514,442.40 = 209,992 : x
  2. Step 2: Convert to fraction form
    343,194.88/514,442.40 = 209,992/x
  3. Step 3: Cross multiply
    343,194.88x = 514,442.40 × 209,992
  4. Step 4: Simplify right side
    343,194.88x = 108,028,788,460.80
  5. Step 5: Solve for x
    x = 108,028,788,460.80/343,194.88
  6. Step 6: Final answer
    x = 314,773.89

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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.