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Finding the Fourth Proportional to 293,594.78, 405,162.88 and 159,458.78

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Solution

The fourth proportional to 293,594.78, 405,162.88 and 159,458.78 is: 220,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,594.78 : 405,162.88 = 159,458.78 : x
  2. Step 2: Convert to fraction form
    293,594.78/405,162.88 = 159,458.78/x
  3. Step 3: Cross multiply
    293,594.78x = 405,162.88 × 159,458.78
  4. Step 4: Simplify right side
    293,594.78x = 64,606,778,546.09
  5. Step 5: Solve for x
    x = 64,606,778,546.09/293,594.78
  6. Step 6: Final answer
    x = 220,054.25

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1.5x scale

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.