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Finding the Fourth Proportional to 672,046.14, 1,007,952.57 and 228,814.14

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Solution

The fourth proportional to 672,046.14, 1,007,952.57 and 228,814.14 is: 343,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,046.14 : 1,007,952.57 = 228,814.14 : x
  2. Step 2: Convert to fraction form
    672,046.14/1,007,952.57 = 228,814.14/x
  3. Step 3: Cross multiply
    672,046.14x = 1,007,952.57 × 228,814.14
  4. Step 4: Simplify right side
    672,046.14x = 230,633,800,465.34
  5. Step 5: Solve for x
    x = 230,633,800,465.34/672,046.14
  6. Step 6: Final answer
    x = 343,181.50

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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.