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Finding the Fourth Proportional to 314,059.38, 433,362.62 and 212,306.24

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Solution

The fourth proportional to 314,059.38, 433,362.62 and 212,306.24 is: 292,956.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,059.38 : 433,362.62 = 212,306.24 : x
  2. Step 2: Convert to fraction form
    314,059.38/433,362.62 = 212,306.24/x
  3. Step 3: Cross multiply
    314,059.38x = 433,362.62 × 212,306.24
  4. Step 4: Simplify right side
    314,059.38x = 92,005,588,408.75
  5. Step 5: Solve for x
    x = 92,005,588,408.75/314,059.38
  6. Step 6: Final answer
    x = 292,956.03

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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.