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Finding the Fourth Proportional to 503,423, 694,723.92 and 277,063.64

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Solution

The fourth proportional to 503,423, 694,723.92 and 277,063.64 is: 382,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,423 : 694,723.92 = 277,063.64 : x
  2. Step 2: Convert to fraction form
    503,423/694,723.92 = 277,063.64/x
  3. Step 3: Cross multiply
    503,423x = 694,723.92 × 277,063.64
  4. Step 4: Simplify right side
    503,423x = 192,482,738,070.27
  5. Step 5: Solve for x
    x = 192,482,738,070.27/503,423
  6. Step 6: Final answer
    x = 382,347.92

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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.