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Finding the Fourth Proportional to 420,802.90, 580,708.65 and 239,514.83

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Solution

The fourth proportional to 420,802.90, 580,708.65 and 239,514.83 is: 330,530.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,802.90 : 580,708.65 = 239,514.83 : x
  2. Step 2: Convert to fraction form
    420,802.90/580,708.65 = 239,514.83/x
  3. Step 3: Cross multiply
    420,802.90x = 580,708.65 × 239,514.83
  4. Step 4: Simplify right side
    420,802.90x = 139,088,333,584.28
  5. Step 5: Solve for x
    x = 139,088,333,584.28/420,802.90
  6. Step 6: Final answer
    x = 330,530.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.