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Finding the Fourth Proportional to 456,205.56, 684,324.90 and 156,684.39

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Solution

The fourth proportional to 456,205.56, 684,324.90 and 156,684.39 is: 235,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,205.56 : 684,324.90 = 156,684.39 : x
  2. Step 2: Convert to fraction form
    456,205.56/684,324.90 = 156,684.39/x
  3. Step 3: Cross multiply
    456,205.56x = 684,324.90 × 156,684.39
  4. Step 4: Simplify right side
    456,205.56x = 107,223,029,518.31
  5. Step 5: Solve for x
    x = 107,223,029,518.31/456,205.56
  6. Step 6: Final answer
    x = 235,032.27

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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.