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Finding the Fourth Proportional to 295,582.19, 407,850.05 and 166,500.59

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Solution

The fourth proportional to 295,582.19, 407,850.05 and 166,500.59 is: 229,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,582.19 : 407,850.05 = 166,500.59 : x
  2. Step 2: Convert to fraction form
    295,582.19/407,850.05 = 166,500.59/x
  3. Step 3: Cross multiply
    295,582.19x = 407,850.05 × 166,500.59
  4. Step 4: Simplify right side
    295,582.19x = 67,907,272,333.53
  5. Step 5: Solve for x
    x = 67,907,272,333.53/295,582.19
  6. Step 6: Final answer
    x = 229,740.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.