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Finding the Fourth Proportional to 503,997.50, 695,516.24 and 277,643.00

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Solution

The fourth proportional to 503,997.50, 695,516.24 and 277,643.00 is: 383,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,997.50 : 695,516.24 = 277,643.00 : x
  2. Step 2: Convert to fraction form
    503,997.50/695,516.24 = 277,643.00/x
  3. Step 3: Cross multiply
    503,997.50x = 695,516.24 × 277,643.00
  4. Step 4: Simplify right side
    503,997.50x = 193,105,210,556.52
  5. Step 5: Solve for x
    x = 193,105,210,556.52/503,997.50
  6. Step 6: Final answer
    x = 383,147.16

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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.