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Finding the Fourth Proportional to 357,348.86, 536,035.14 and 179,759.10

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Solution

The fourth proportional to 357,348.86, 536,035.14 and 179,759.10 is: 269,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,348.86 : 536,035.14 = 179,759.10 : x
  2. Step 2: Convert to fraction form
    357,348.86/536,035.14 = 179,759.10/x
  3. Step 3: Cross multiply
    357,348.86x = 536,035.14 × 179,759.10
  4. Step 4: Simplify right side
    357,348.86x = 96,357,194,334.77
  5. Step 5: Solve for x
    x = 96,357,194,334.77/357,348.86
  6. Step 6: Final answer
    x = 269,644.61

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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.