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Finding the Fourth Proportional to 500,008.32, 689,994.72 and 285,217.92

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Solution

The fourth proportional to 500,008.32, 689,994.72 and 285,217.92 is: 393,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,008.32 : 689,994.72 = 285,217.92 : x
  2. Step 2: Convert to fraction form
    500,008.32/689,994.72 = 285,217.92/x
  3. Step 3: Cross multiply
    500,008.32x = 689,994.72 × 285,217.92
  4. Step 4: Simplify right side
    500,008.32x = 196,798,858,849.38
  5. Step 5: Solve for x
    x = 196,798,858,849.38/500,008.32
  6. Step 6: Final answer
    x = 393,591.17

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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.