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Finding the Fourth Proportional to 503,768.88, 695,205.72 and 277,416

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Solution

The fourth proportional to 503,768.88, 695,205.72 and 277,416 is: 382,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,768.88 : 695,205.72 = 277,416 : x
  2. Step 2: Convert to fraction form
    503,768.88/695,205.72 = 277,416/x
  3. Step 3: Cross multiply
    503,768.88x = 695,205.72 × 277,416
  4. Step 4: Simplify right side
    503,768.88x = 192,861,190,019.52
  5. Step 5: Solve for x
    x = 192,861,190,019.52/503,768.88
  6. Step 6: Final answer
    x = 382,836.65

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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.