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Finding the Fourth Proportional to 503,897.47, 695,378.50 and 277,542.97

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Solution

The fourth proportional to 503,897.47, 695,378.50 and 277,542.97 is: 383,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,897.47 : 695,378.50 = 277,542.97 : x
  2. Step 2: Convert to fraction form
    503,897.47/695,378.50 = 277,542.97/x
  3. Step 3: Cross multiply
    503,897.47x = 695,378.50 × 277,542.97
  4. Step 4: Simplify right side
    503,897.47x = 192,997,414,164.15
  5. Step 5: Solve for x
    x = 192,997,414,164.15/503,897.47
  6. Step 6: Final answer
    x = 383,009.29

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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.