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Finding the Fourth Proportional to 234,357.49, 322,631.26 and 223,646.66

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Solution

The fourth proportional to 234,357.49, 322,631.26 and 223,646.66 is: 307,886.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,357.49 : 322,631.26 = 223,646.66 : x
  2. Step 2: Convert to fraction form
    234,357.49/322,631.26 = 223,646.66/x
  3. Step 3: Cross multiply
    234,357.49x = 322,631.26 × 223,646.66
  4. Step 4: Simplify right side
    234,357.49x = 72,155,403,710.59
  5. Step 5: Solve for x
    x = 72,155,403,710.59/234,357.49
  6. Step 6: Final answer
    x = 307,886.06

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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.