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Finding the Fourth Proportional to 357,249.49, 535,841.33 and 120,594.22

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Solution

The fourth proportional to 357,249.49, 535,841.33 and 120,594.22 is: 180,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,249.49 : 535,841.33 = 120,594.22 : x
  2. Step 2: Convert to fraction form
    357,249.49/535,841.33 = 120,594.22/x
  3. Step 3: Cross multiply
    357,249.49x = 535,841.33 × 120,594.22
  4. Step 4: Simplify right side
    357,249.49x = 64,619,365,292.54
  5. Step 5: Solve for x
    x = 64,619,365,292.54/357,249.49
  6. Step 6: Final answer
    x = 180,880.22

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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.