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Finding the Fourth Proportional to 475,611.32, 713,522.28 and 160,058

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Solution

The fourth proportional to 475,611.32, 713,522.28 and 160,058 is: 240,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,611.32 : 713,522.28 = 160,058 : x
  2. Step 2: Convert to fraction form
    475,611.32/713,522.28 = 160,058/x
  3. Step 3: Cross multiply
    475,611.32x = 713,522.28 × 160,058
  4. Step 4: Simplify right side
    475,611.32x = 114,204,949,092.24
  5. Step 5: Solve for x
    x = 114,204,949,092.24/475,611.32
  6. Step 6: Final answer
    x = 240,122.44

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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.