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Finding the Fourth Proportional to 295,152.40, 407,308.42 and 167,827.96

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Solution

The fourth proportional to 295,152.40, 407,308.42 and 167,827.96 is: 231,601.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,152.40 : 407,308.42 = 167,827.96 : x
  2. Step 2: Convert to fraction form
    295,152.40/407,308.42 = 167,827.96/x
  3. Step 3: Cross multiply
    295,152.40x = 407,308.42 × 167,827.96
  4. Step 4: Simplify right side
    295,152.40x = 68,357,741,219.42
  5. Step 5: Solve for x
    x = 68,357,741,219.42/295,152.40
  6. Step 6: Final answer
    x = 231,601.51

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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.