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Finding the Fourth Proportional to 374,595.29, 516,841.86 and 213,446.87

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Solution

The fourth proportional to 374,595.29, 516,841.86 and 213,446.87 is: 294,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,595.29 : 516,841.86 = 213,446.87 : x
  2. Step 2: Convert to fraction form
    374,595.29/516,841.86 = 213,446.87/x
  3. Step 3: Cross multiply
    374,595.29x = 516,841.86 × 213,446.87
  4. Step 4: Simplify right side
    374,595.29x = 110,318,277,301.98
  5. Step 5: Solve for x
    x = 110,318,277,301.98/374,595.29
  6. Step 6: Final answer
    x = 294,499.90

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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.