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Finding the Fourth Proportional to 374,238.32, 516,449.44 and 213,093.50

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Solution

The fourth proportional to 374,238.32, 516,449.44 and 213,093.50 is: 294,069.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,238.32 : 516,449.44 = 213,093.50 : x
  2. Step 2: Convert to fraction form
    374,238.32/516,449.44 = 213,093.50/x
  3. Step 3: Cross multiply
    374,238.32x = 516,449.44 × 213,093.50
  4. Step 4: Simplify right side
    374,238.32x = 110,052,018,742.64
  5. Step 5: Solve for x
    x = 110,052,018,742.64/374,238.32
  6. Step 6: Final answer
    x = 294,069.35

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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.