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Finding the Fourth Proportional to 506,924.34, 699,577.68 and 280,569.78

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Solution

The fourth proportional to 506,924.34, 699,577.68 and 280,569.78 is: 387,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,924.34 : 699,577.68 = 280,569.78 : x
  2. Step 2: Convert to fraction form
    506,924.34/699,577.68 = 280,569.78/x
  3. Step 3: Cross multiply
    506,924.34x = 699,577.68 × 280,569.78
  4. Step 4: Simplify right side
    506,924.34x = 196,280,355,770.51
  5. Step 5: Solve for x
    x = 196,280,355,770.51/506,924.34
  6. Step 6: Final answer
    x = 387,198.52

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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.