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Finding the Fourth Proportional to 294,886.48, 442,358.36 and 117,351.96

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Solution

The fourth proportional to 294,886.48, 442,358.36 and 117,351.96 is: 176,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,886.48 : 442,358.36 = 117,351.96 : x
  2. Step 2: Convert to fraction form
    294,886.48/442,358.36 = 117,351.96/x
  3. Step 3: Cross multiply
    294,886.48x = 442,358.36 × 117,351.96
  4. Step 4: Simplify right side
    294,886.48x = 51,911,620,568.39
  5. Step 5: Solve for x
    x = 51,911,620,568.39/294,886.48
  6. Step 6: Final answer
    x = 176,039.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.