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Finding the Fourth Proportional to 293,290.46, 404,740.83 and 159,154.46

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Solution

The fourth proportional to 293,290.46, 404,740.83 and 159,154.46 is: 219,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,290.46 : 404,740.83 = 159,154.46 : x
  2. Step 2: Convert to fraction form
    293,290.46/404,740.83 = 159,154.46/x
  3. Step 3: Cross multiply
    293,290.46x = 404,740.83 × 159,154.46
  4. Step 4: Simplify right side
    293,290.46x = 64,416,308,329.51
  5. Step 5: Solve for x
    x = 64,416,308,329.51/293,290.46
  6. Step 6: Final answer
    x = 219,633.15

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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.