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Finding the Fourth Proportional to 559,441.82, 772,029.80 and 304,793

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Solution

The fourth proportional to 559,441.82, 772,029.80 and 304,793 is: 420,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,441.82 : 772,029.80 = 304,793 : x
  2. Step 2: Convert to fraction form
    559,441.82/772,029.80 = 304,793/x
  3. Step 3: Cross multiply
    559,441.82x = 772,029.80 × 304,793
  4. Step 4: Simplify right side
    559,441.82x = 235,309,278,831.40
  5. Step 5: Solve for x
    x = 235,309,278,831.40/559,441.82
  6. Step 6: Final answer
    x = 420,614.39

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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.