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Finding the Fourth Proportional to 343,830.32, 515,744.76 and 194,002.64

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Solution

The fourth proportional to 343,830.32, 515,744.76 and 194,002.64 is: 291,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,830.32 : 515,744.76 = 194,002.64 : x
  2. Step 2: Convert to fraction form
    343,830.32/515,744.76 = 194,002.64/x
  3. Step 3: Cross multiply
    343,830.32x = 515,744.76 × 194,002.64
  4. Step 4: Simplify right side
    343,830.32x = 100,055,845,006.17
  5. Step 5: Solve for x
    x = 100,055,845,006.17/343,830.32
  6. Step 6: Final answer
    x = 291,003.55

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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.