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Finding the Fourth Proportional to 367,713.10, 507,298.14 and 212,635.72

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Solution

The fourth proportional to 367,713.10, 507,298.14 and 212,635.72 is: 293,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,713.10 : 507,298.14 = 212,635.72 : x
  2. Step 2: Convert to fraction form
    367,713.10/507,298.14 = 212,635.72/x
  3. Step 3: Cross multiply
    367,713.10x = 507,298.14 × 212,635.72
  4. Step 4: Simplify right side
    367,713.10x = 107,869,705,253.56
  5. Step 5: Solve for x
    x = 107,869,705,253.56/367,713.10
  6. Step 6: Final answer
    x = 293,352.90

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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.