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Finding the Fourth Proportional to 493,443.16, 740,191.16 and 156,509.37

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Solution

The fourth proportional to 493,443.16, 740,191.16 and 156,509.37 is: 234,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,443.16 : 740,191.16 = 156,509.37 : x
  2. Step 2: Convert to fraction form
    493,443.16/740,191.16 = 156,509.37/x
  3. Step 3: Cross multiply
    493,443.16x = 740,191.16 × 156,509.37
  4. Step 4: Simplify right side
    493,443.16x = 115,846,852,522.44
  5. Step 5: Solve for x
    x = 115,846,852,522.44/493,443.16
  6. Step 6: Final answer
    x = 234,772.44

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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.