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Finding the Fourth Proportional to 349,036.74, 481,657.86 and 213,297.84

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Solution

The fourth proportional to 349,036.74, 481,657.86 and 213,297.84 is: 294,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,036.74 : 481,657.86 = 213,297.84 : x
  2. Step 2: Convert to fraction form
    349,036.74/481,657.86 = 213,297.84/x
  3. Step 3: Cross multiply
    349,036.74x = 481,657.86 × 213,297.84
  4. Step 4: Simplify right side
    349,036.74x = 102,736,581,157.02
  5. Step 5: Solve for x
    x = 102,736,581,157.02/349,036.74
  6. Step 6: Final answer
    x = 294,343.17

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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.