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Finding the Fourth Proportional to 504,225.82, 695,828.10 and 277,871.32

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Solution

The fourth proportional to 504,225.82, 695,828.10 and 277,871.32 is: 383,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,225.82 : 695,828.10 = 277,871.32 : x
  2. Step 2: Convert to fraction form
    504,225.82/695,828.10 = 277,871.32/x
  3. Step 3: Cross multiply
    504,225.82x = 695,828.10 × 277,871.32
  4. Step 4: Simplify right side
    504,225.82x = 193,350,672,640.09
  5. Step 5: Solve for x
    x = 193,350,672,640.09/504,225.82
  6. Step 6: Final answer
    x = 383,460.48

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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.