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Finding the Fourth Proportional to 367,880.57, 507,658.82 and 214,932.90

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Solution

The fourth proportional to 367,880.57, 507,658.82 and 214,932.90 is: 296,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,880.57 : 507,658.82 = 214,932.90 : x
  2. Step 2: Convert to fraction form
    367,880.57/507,658.82 = 214,932.90/x
  3. Step 3: Cross multiply
    367,880.57x = 507,658.82 × 214,932.90
  4. Step 4: Simplify right side
    367,880.57x = 109,112,581,318.51
  5. Step 5: Solve for x
    x = 109,112,581,318.51/367,880.57
  6. Step 6: Final answer
    x = 296,597.84

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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.