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Finding the Fourth Proportional to 289,335.81, 399,218.83 and 174,633.06

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Solution

The fourth proportional to 289,335.81, 399,218.83 and 174,633.06 is: 240,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,335.81 : 399,218.83 = 174,633.06 : x
  2. Step 2: Convert to fraction form
    289,335.81/399,218.83 = 174,633.06/x
  3. Step 3: Cross multiply
    289,335.81x = 399,218.83 × 174,633.06
  4. Step 4: Simplify right side
    289,335.81x = 69,716,805,892.52
  5. Step 5: Solve for x
    x = 69,716,805,892.52/289,335.81
  6. Step 6: Final answer
    x = 240,954.64

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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.