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Finding the Fourth Proportional to 504,082.82, 695,633.98 and 277,728.32

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Solution

The fourth proportional to 504,082.82, 695,633.98 and 277,728.32 is: 383,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,082.82 : 695,633.98 = 277,728.32 : x
  2. Step 2: Convert to fraction form
    504,082.82/695,633.98 = 277,728.32/x
  3. Step 3: Cross multiply
    504,082.82x = 695,633.98 × 277,728.32
  4. Step 4: Simplify right side
    504,082.82x = 193,197,256,600.31
  5. Step 5: Solve for x
    x = 193,197,256,600.31/504,082.82
  6. Step 6: Final answer
    x = 383,264.91

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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.