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Finding the Fourth Proportional to 492,726.24, 739,082.88 and 118,746

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Solution

The fourth proportional to 492,726.24, 739,082.88 and 118,746 is: 178,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,726.24 : 739,082.88 = 118,746 : x
  2. Step 2: Convert to fraction form
    492,726.24/739,082.88 = 118,746/x
  3. Step 3: Cross multiply
    492,726.24x = 739,082.88 × 118,746
  4. Step 4: Simplify right side
    492,726.24x = 87,763,135,668.48
  5. Step 5: Solve for x
    x = 87,763,135,668.48/492,726.24
  6. Step 6: Final answer
    x = 178,117.44

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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.