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Finding the Fourth Proportional to 630,777.88, 945,816.78 and 209,824.12

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Solution

The fourth proportional to 630,777.88, 945,816.78 and 209,824.12 is: 314,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,777.88 : 945,816.78 = 209,824.12 : x
  2. Step 2: Convert to fraction form
    630,777.88/945,816.78 = 209,824.12/x
  3. Step 3: Cross multiply
    630,777.88x = 945,816.78 × 209,824.12
  4. Step 4: Simplify right side
    630,777.88x = 198,455,173,544.73
  5. Step 5: Solve for x
    x = 198,455,173,544.73/630,777.88
  6. Step 6: Final answer
    x = 314,619.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.