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Finding the Fourth Proportional to 343,597.98, 515,445.57 and 106,964.58

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Solution

The fourth proportional to 343,597.98, 515,445.57 and 106,964.58 is: 160,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,597.98 : 515,445.57 = 106,964.58 : x
  2. Step 2: Convert to fraction form
    343,597.98/515,445.57 = 106,964.58/x
  3. Step 3: Cross multiply
    343,597.98x = 515,445.57 × 106,964.58
  4. Step 4: Simplify right side
    343,597.98x = 55,134,418,907.91
  5. Step 5: Solve for x
    x = 55,134,418,907.91/343,597.98
  6. Step 6: Final answer
    x = 160,462.00

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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.