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Finding the Fourth Proportional to 503,014.50, 694,156.68 and 285,264.36

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Solution

The fourth proportional to 503,014.50, 694,156.68 and 285,264.36 is: 393,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,014.50 : 694,156.68 = 285,264.36 : x
  2. Step 2: Convert to fraction form
    503,014.50/694,156.68 = 285,264.36/x
  3. Step 3: Cross multiply
    503,014.50x = 694,156.68 × 285,264.36
  4. Step 4: Simplify right side
    503,014.50x = 198,018,161,059.93
  5. Step 5: Solve for x
    x = 198,018,161,059.93/503,014.50
  6. Step 6: Final answer
    x = 393,662.93

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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.