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Finding the Fourth Proportional to 523,454.09, 785,014.68 and 168,385.46

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Solution

The fourth proportional to 523,454.09, 785,014.68 and 168,385.46 is: 252,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,454.09 : 785,014.68 = 168,385.46 : x
  2. Step 2: Convert to fraction form
    523,454.09/785,014.68 = 168,385.46/x
  3. Step 3: Cross multiply
    523,454.09x = 785,014.68 × 168,385.46
  4. Step 4: Simplify right side
    523,454.09x = 132,185,057,998.55
  5. Step 5: Solve for x
    x = 132,185,057,998.55/523,454.09
  6. Step 6: Final answer
    x = 252,524.64

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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.