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Finding the Fourth Proportional to 294,702.72, 442,258.24 and 117,191.52

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Solution

The fourth proportional to 294,702.72, 442,258.24 and 117,191.52 is: 175,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,702.72 : 442,258.24 = 117,191.52 : x
  2. Step 2: Convert to fraction form
    294,702.72/442,258.24 = 117,191.52/x
  3. Step 3: Cross multiply
    294,702.72x = 442,258.24 × 117,191.52
  4. Step 4: Simplify right side
    294,702.72x = 51,828,915,378.12
  5. Step 5: Solve for x
    x = 51,828,915,378.12/294,702.72
  6. Step 6: Final answer
    x = 175,868.47

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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.