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Finding the Fourth Proportional to 334,838.73, 502,330.83 and 110,221.98

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Solution

The fourth proportional to 334,838.73, 502,330.83 and 110,221.98 is: 165,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,838.73 : 502,330.83 = 110,221.98 : x
  2. Step 2: Convert to fraction form
    334,838.73/502,330.83 = 110,221.98/x
  3. Step 3: Cross multiply
    334,838.73x = 502,330.83 × 110,221.98
  4. Step 4: Simplify right side
    334,838.73x = 55,367,898,697.64
  5. Step 5: Solve for x
    x = 55,367,898,697.64/334,838.73
  6. Step 6: Final answer
    x = 165,356.91

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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.