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Finding the Fourth Proportional to 503,838.54, 694,486.80 and 340,444.02

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Solution

The fourth proportional to 503,838.54, 694,486.80 and 340,444.02 is: 469,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,838.54 : 694,486.80 = 340,444.02 : x
  2. Step 2: Convert to fraction form
    503,838.54/694,486.80 = 340,444.02/x
  3. Step 3: Cross multiply
    503,838.54x = 694,486.80 × 340,444.02
  4. Step 4: Simplify right side
    503,838.54x = 236,433,874,773.53
  5. Step 5: Solve for x
    x = 236,433,874,773.53/503,838.54
  6. Step 6: Final answer
    x = 469,265.16

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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.