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Finding the Fourth Proportional to 503,498.30, 694,827.32 and 277,143.80

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Solution

The fourth proportional to 503,498.30, 694,827.32 and 277,143.80 is: 382,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,498.30 : 694,827.32 = 277,143.80 : x
  2. Step 2: Convert to fraction form
    503,498.30/694,827.32 = 277,143.80/x
  3. Step 3: Cross multiply
    503,498.30x = 694,827.32 × 277,143.80
  4. Step 4: Simplify right side
    503,498.30x = 192,567,078,948.76
  5. Step 5: Solve for x
    x = 192,567,078,948.76/503,498.30
  6. Step 6: Final answer
    x = 382,458.25

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1.5x scale

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.