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Finding the Fourth Proportional to 456,196.40, 684,229.80 and 156,690.80

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Solution

The fourth proportional to 456,196.40, 684,229.80 and 156,690.80 is: 235,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,196.40 : 684,229.80 = 156,690.80 : x
  2. Step 2: Convert to fraction form
    456,196.40/684,229.80 = 156,690.80/x
  3. Step 3: Cross multiply
    456,196.40x = 684,229.80 × 156,690.80
  4. Step 4: Simplify right side
    456,196.40x = 107,212,514,745.84
  5. Step 5: Solve for x
    x = 107,212,514,745.84/456,196.40
  6. Step 6: Final answer
    x = 235,013.94

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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.