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Finding the Fourth Proportional to 665,727.50, 918,703.96 and 363,921.50

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Solution

The fourth proportional to 665,727.50, 918,703.96 and 363,921.50 is: 502,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,727.50 : 918,703.96 = 363,921.50 : x
  2. Step 2: Convert to fraction form
    665,727.50/918,703.96 = 363,921.50/x
  3. Step 3: Cross multiply
    665,727.50x = 918,703.96 × 363,921.50
  4. Step 4: Simplify right side
    665,727.50x = 334,336,123,179.14
  5. Step 5: Solve for x
    x = 334,336,123,179.14/665,727.50
  6. Step 6: Final answer
    x = 502,211.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.