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Finding the Fourth Proportional to 504,223, 695,827.74 and 277,868.50

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Solution

The fourth proportional to 504,223, 695,827.74 and 277,868.50 is: 383,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,223 : 695,827.74 = 277,868.50 : x
  2. Step 2: Convert to fraction form
    504,223/695,827.74 = 277,868.50/x
  3. Step 3: Cross multiply
    504,223x = 695,827.74 × 277,868.50
  4. Step 4: Simplify right side
    504,223x = 193,348,610,372.19
  5. Step 5: Solve for x
    x = 193,348,610,372.19/504,223
  6. Step 6: Final answer
    x = 383,458.53

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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.