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Finding the Fourth Proportional to 503,897.97, 695,379.17 and 277,543.47

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Solution

The fourth proportional to 503,897.97, 695,379.17 and 277,543.47 is: 383,009.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,897.97 : 695,379.17 = 277,543.47 : x
  2. Step 2: Convert to fraction form
    503,897.97/695,379.17 = 277,543.47/x
  3. Step 3: Cross multiply
    503,897.97x = 695,379.17 × 277,543.47
  4. Step 4: Simplify right side
    503,897.97x = 192,997,946,419.80
  5. Step 5: Solve for x
    x = 192,997,946,419.80/503,897.97
  6. Step 6: Final answer
    x = 383,009.97

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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.