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Finding the Fourth Proportional to 562,539.38, 776,298.43 and 304,410.68

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Solution

The fourth proportional to 562,539.38, 776,298.43 and 304,410.68 is: 420,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,539.38 : 776,298.43 = 304,410.68 : x
  2. Step 2: Convert to fraction form
    562,539.38/776,298.43 = 304,410.68/x
  3. Step 3: Cross multiply
    562,539.38x = 776,298.43 × 304,410.68
  4. Step 4: Simplify right side
    562,539.38x = 236,313,532,369.37
  5. Step 5: Solve for x
    x = 236,313,532,369.37/562,539.38
  6. Step 6: Final answer
    x = 420,083.53

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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.