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Finding the Fourth Proportional to 509,677.98, 764,609.24 and 209,992.02

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Solution

The fourth proportional to 509,677.98, 764,609.24 and 209,992.02 is: 315,026.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,677.98 : 764,609.24 = 209,992.02 : x
  2. Step 2: Convert to fraction form
    509,677.98/764,609.24 = 209,992.02/x
  3. Step 3: Cross multiply
    509,677.98x = 764,609.24 × 209,992.02
  4. Step 4: Simplify right side
    509,677.98x = 160,561,838,818.27
  5. Step 5: Solve for x
    x = 160,561,838,818.27/509,677.98
  6. Step 6: Final answer
    x = 315,026.05

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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.