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Finding the Fourth Proportional to 559,323.96, 771,863.10 and 304,675.14

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Solution

The fourth proportional to 559,323.96, 771,863.10 and 304,675.14 is: 420,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,323.96 : 771,863.10 = 304,675.14 : x
  2. Step 2: Convert to fraction form
    559,323.96/771,863.10 = 304,675.14/x
  3. Step 3: Cross multiply
    559,323.96x = 771,863.10 × 304,675.14
  4. Step 4: Simplify right side
    559,323.96x = 235,167,498,053.33
  5. Step 5: Solve for x
    x = 235,167,498,053.33/559,323.96
  6. Step 6: Final answer
    x = 420,449.53

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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.