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Finding the Fourth Proportional to 295,584.55, 407,907.95 and 166,524.57

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Solution

The fourth proportional to 295,584.55, 407,907.95 and 166,524.57 is: 229,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,584.55 : 407,907.95 = 166,524.57 : x
  2. Step 2: Convert to fraction form
    295,584.55/407,907.95 = 166,524.57/x
  3. Step 3: Cross multiply
    295,584.55x = 407,907.95 × 166,524.57
  4. Step 4: Simplify right side
    295,584.55x = 67,926,695,140.71
  5. Step 5: Solve for x
    x = 67,926,695,140.71/295,584.55
  6. Step 6: Final answer
    x = 229,804.62

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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.