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Finding the Fourth Proportional to 367,213.79, 506,758.53 and 214,347.35

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Solution

The fourth proportional to 367,213.79, 506,758.53 and 214,347.35 is: 295,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,213.79 : 506,758.53 = 214,347.35 : x
  2. Step 2: Convert to fraction form
    367,213.79/506,758.53 = 214,347.35/x
  3. Step 3: Cross multiply
    367,213.79x = 506,758.53 × 214,347.35
  4. Step 4: Simplify right side
    367,213.79x = 108,622,345,461.60
  5. Step 5: Solve for x
    x = 108,622,345,461.60/367,213.79
  6. Step 6: Final answer
    x = 295,801.38

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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.