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Finding the Fourth Proportional to 314,526.96, 434,462.52 and 233,020.68

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Solution

The fourth proportional to 314,526.96, 434,462.52 and 233,020.68 is: 321,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,526.96 : 434,462.52 = 233,020.68 : x
  2. Step 2: Convert to fraction form
    314,526.96/434,462.52 = 233,020.68/x
  3. Step 3: Cross multiply
    314,526.96x = 434,462.52 × 233,020.68
  4. Step 4: Simplify right side
    314,526.96x = 101,238,751,844.91
  5. Step 5: Solve for x
    x = 101,238,751,844.91/314,526.96
  6. Step 6: Final answer
    x = 321,876.23

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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.