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Finding the Fourth Proportional to 413,114.72, 619,173.79 and 213,326.19

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Solution

The fourth proportional to 413,114.72, 619,173.79 and 213,326.19 is: 319,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,114.72 : 619,173.79 = 213,326.19 : x
  2. Step 2: Convert to fraction form
    413,114.72/619,173.79 = 213,326.19/x
  3. Step 3: Cross multiply
    413,114.72x = 619,173.79 × 213,326.19
  4. Step 4: Simplify right side
    413,114.72x = 132,085,985,035.25
  5. Step 5: Solve for x
    x = 132,085,985,035.25/413,114.72
  6. Step 6: Final answer
    x = 319,731.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.