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Finding the Fourth Proportional to 456,035, 684,062.22 and 156,514.28

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Solution

The fourth proportional to 456,035, 684,062.22 and 156,514.28 is: 234,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,035 : 684,062.22 = 156,514.28 : x
  2. Step 2: Convert to fraction form
    456,035/684,062.22 = 156,514.28/x
  3. Step 3: Cross multiply
    456,035x = 684,062.22 × 156,514.28
  4. Step 4: Simplify right side
    456,035x = 107,065,505,838.50
  5. Step 5: Solve for x
    x = 107,065,505,838.50/456,035
  6. Step 6: Final answer
    x = 234,774.76

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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.