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Finding the Fourth Proportional to 504,206.09, 695,801.08 and 277,851.77

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Solution

The fourth proportional to 504,206.09, 695,801.08 and 277,851.77 is: 383,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,206.09 : 695,801.08 = 277,851.77 : x
  2. Step 2: Convert to fraction form
    504,206.09/695,801.08 = 277,851.77/x
  3. Step 3: Cross multiply
    504,206.09x = 695,801.08 × 277,851.77
  4. Step 4: Simplify right side
    504,206.09x = 193,329,561,645.91
  5. Step 5: Solve for x
    x = 193,329,561,645.91/504,206.09
  6. Step 6: Final answer
    x = 383,433.61

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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.