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Finding the Fourth Proportional to 564,922.69, 779,590.65 and 306,797.83

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Solution

The fourth proportional to 564,922.69, 779,590.65 and 306,797.83 is: 423,379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,922.69 : 779,590.65 = 306,797.83 : x
  2. Step 2: Convert to fraction form
    564,922.69/779,590.65 = 306,797.83/x
  3. Step 3: Cross multiply
    564,922.69x = 779,590.65 × 306,797.83
  4. Step 4: Simplify right side
    564,922.69x = 239,176,719,708.29
  5. Step 5: Solve for x
    x = 239,176,719,708.29/564,922.69
  6. Step 6: Final answer
    x = 423,379.56

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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.