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Finding the Fourth Proportional to 292,524.60, 403,676.22 and 163,464.14

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Solution

The fourth proportional to 292,524.60, 403,676.22 and 163,464.14 is: 225,576.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,524.60 : 403,676.22 = 163,464.14 : x
  2. Step 2: Convert to fraction form
    292,524.60/403,676.22 = 163,464.14/x
  3. Step 3: Cross multiply
    292,524.60x = 403,676.22 × 163,464.14
  4. Step 4: Simplify right side
    292,524.60x = 65,986,583,509.38
  5. Step 5: Solve for x
    x = 65,986,583,509.38/292,524.60
  6. Step 6: Final answer
    x = 225,576.19

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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.