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Finding the Fourth Proportional to 1,684,847, 2,527,270.50 and 502,895

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Solution

The fourth proportional to 1,684,847, 2,527,270.50 and 502,895 is: 754,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,847 : 2,527,270.50 = 502,895 : x
  2. Step 2: Convert to fraction form
    1,684,847/2,527,270.50 = 502,895/x
  3. Step 3: Cross multiply
    1,684,847x = 2,527,270.50 × 502,895
  4. Step 4: Simplify right side
    1,684,847x = 1,270,951,698,097.50
  5. Step 5: Solve for x
    x = 1,270,951,698,097.50/1,684,847
  6. Step 6: Final answer
    x = 754,342.50

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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.