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Finding the Fourth Proportional to 286,345.38, 395,133.58 and 165,494.50

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Solution

The fourth proportional to 286,345.38, 395,133.58 and 165,494.50 is: 228,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,345.38 : 395,133.58 = 165,494.50 : x
  2. Step 2: Convert to fraction form
    286,345.38/395,133.58 = 165,494.50/x
  3. Step 3: Cross multiply
    286,345.38x = 395,133.58 × 165,494.50
  4. Step 4: Simplify right side
    286,345.38x = 65,392,433,474.34
  5. Step 5: Solve for x
    x = 65,392,433,474.34/286,345.38
  6. Step 6: Final answer
    x = 228,369.09

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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.