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Finding the Fourth Proportional to 493,247.66, 739,929.80 and 156,303.86

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Solution

The fourth proportional to 493,247.66, 739,929.80 and 156,303.86 is: 234,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,247.66 : 739,929.80 = 156,303.86 : x
  2. Step 2: Convert to fraction form
    493,247.66/739,929.80 = 156,303.86/x
  3. Step 3: Cross multiply
    493,247.66x = 739,929.80 × 156,303.86
  4. Step 4: Simplify right side
    493,247.66x = 115,653,880,560.14
  5. Step 5: Solve for x
    x = 115,653,880,560.14/493,247.66
  6. Step 6: Final answer
    x = 234,474.26

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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.