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Finding the Fourth Proportional to 374,596.29, 516,843.24 and 213,447.87

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Solution

The fourth proportional to 374,596.29, 516,843.24 and 213,447.87 is: 294,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,596.29 : 516,843.24 = 213,447.87 : x
  2. Step 2: Convert to fraction form
    374,596.29/516,843.24 = 213,447.87/x
  3. Step 3: Cross multiply
    374,596.29x = 516,843.24 × 213,447.87
  4. Step 4: Simplify right side
    374,596.29x = 110,319,088,701.90
  5. Step 5: Solve for x
    x = 110,319,088,701.90/374,596.29
  6. Step 6: Final answer
    x = 294,501.28

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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.