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Finding the Fourth Proportional to 562,511.66, 776,268.14 and 304,388.61

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Solution

The fourth proportional to 562,511.66, 776,268.14 and 304,388.61 is: 420,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,511.66 : 776,268.14 = 304,388.61 : x
  2. Step 2: Convert to fraction form
    562,511.66/776,268.14 = 304,388.61/x
  3. Step 3: Cross multiply
    562,511.66x = 776,268.14 × 304,388.61
  4. Step 4: Simplify right side
    562,511.66x = 236,287,178,257.22
  5. Step 5: Solve for x
    x = 236,287,178,257.22/562,511.66
  6. Step 6: Final answer
    x = 420,057.39

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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.