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Finding the Fourth Proportional to 293,464.68, 404,980.92 and 159,328.68

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Solution

The fourth proportional to 293,464.68, 404,980.92 and 159,328.68 is: 219,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,464.68 : 404,980.92 = 159,328.68 : x
  2. Step 2: Convert to fraction form
    293,464.68/404,980.92 = 159,328.68/x
  3. Step 3: Cross multiply
    293,464.68x = 404,980.92 × 159,328.68
  4. Step 4: Simplify right side
    293,464.68x = 64,525,075,408.79
  5. Step 5: Solve for x
    x = 64,525,075,408.79/293,464.68
  6. Step 6: Final answer
    x = 219,873.39

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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.