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Finding the Fourth Proportional to 509,743.38, 703,490.68 and 280,341.09

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Solution

The fourth proportional to 509,743.38, 703,490.68 and 280,341.09 is: 386,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,743.38 : 703,490.68 = 280,341.09 : x
  2. Step 2: Convert to fraction form
    509,743.38/703,490.68 = 280,341.09/x
  3. Step 3: Cross multiply
    509,743.38x = 703,490.68 × 280,341.09
  4. Step 4: Simplify right side
    509,743.38x = 197,217,340,518.59
  5. Step 5: Solve for x
    x = 197,217,340,518.59/509,743.38
  6. Step 6: Final answer
    x = 386,895.34

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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.