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Finding the Fourth Proportional to 374,162.61, 516,344.87 and 213,017.66

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Solution

The fourth proportional to 374,162.61, 516,344.87 and 213,017.66 is: 293,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,162.61 : 516,344.87 = 213,017.66 : x
  2. Step 2: Convert to fraction form
    374,162.61/516,344.87 = 213,017.66/x
  3. Step 3: Cross multiply
    374,162.61x = 516,344.87 × 213,017.66
  4. Step 4: Simplify right side
    374,162.61x = 109,990,574,879.37
  5. Step 5: Solve for x
    x = 109,990,574,879.37/374,162.61
  6. Step 6: Final answer
    x = 293,964.63

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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.