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Finding the Fourth Proportional to 551,682.38, 761,322.30 and 309,964.76

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Solution

The fourth proportional to 551,682.38, 761,322.30 and 309,964.76 is: 427,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,682.38 : 761,322.30 = 309,964.76 : x
  2. Step 2: Convert to fraction form
    551,682.38/761,322.30 = 309,964.76/x
  3. Step 3: Cross multiply
    551,682.38x = 761,322.30 × 309,964.76
  4. Step 4: Simplify right side
    551,682.38x = 235,983,084,002.15
  5. Step 5: Solve for x
    x = 235,983,084,002.15/551,682.38
  6. Step 6: Final answer
    x = 427,751.71

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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.