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Finding the Fourth Proportional to 503,041.53, 694,194.02 and 285,291.66

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Solution

The fourth proportional to 503,041.53, 694,194.02 and 285,291.66 is: 393,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,041.53 : 694,194.02 = 285,291.66 : x
  2. Step 2: Convert to fraction form
    503,041.53/694,194.02 = 285,291.66/x
  3. Step 3: Cross multiply
    503,041.53x = 694,194.02 × 285,291.66
  4. Step 4: Simplify right side
    503,041.53x = 198,047,762,901.42
  5. Step 5: Solve for x
    x = 198,047,762,901.42/503,041.53
  6. Step 6: Final answer
    x = 393,700.62

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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.