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Finding the Fourth Proportional to 294,532.80, 441,856.80 and 117,009.60

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Solution

The fourth proportional to 294,532.80, 441,856.80 and 117,009.60 is: 175,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,532.80 : 441,856.80 = 117,009.60 : x
  2. Step 2: Convert to fraction form
    294,532.80/441,856.80 = 117,009.60/x
  3. Step 3: Cross multiply
    294,532.80x = 441,856.80 × 117,009.60
  4. Step 4: Simplify right side
    294,532.80x = 51,701,487,425.28
  5. Step 5: Solve for x
    x = 51,701,487,425.28/294,532.80
  6. Step 6: Final answer
    x = 175,537.28

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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.