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Finding the Fourth Proportional to 504,224.50, 695,829.82 and 277,870

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Solution

The fourth proportional to 504,224.50, 695,829.82 and 277,870 is: 383,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,224.50 : 695,829.82 = 277,870 : x
  2. Step 2: Convert to fraction form
    504,224.50/695,829.82 = 277,870/x
  3. Step 3: Cross multiply
    504,224.50x = 695,829.82 × 277,870
  4. Step 4: Simplify right side
    504,224.50x = 193,350,232,083.40
  5. Step 5: Solve for x
    x = 193,350,232,083.40/504,224.50
  6. Step 6: Final answer
    x = 383,460.61

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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.