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Finding the Fourth Proportional to 427,624.49, 590,122.02 and 234,032.08

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Solution

The fourth proportional to 427,624.49, 590,122.02 and 234,032.08 is: 322,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,624.49 : 590,122.02 = 234,032.08 : x
  2. Step 2: Convert to fraction form
    427,624.49/590,122.02 = 234,032.08/x
  3. Step 3: Cross multiply
    427,624.49x = 590,122.02 × 234,032.08
  4. Step 4: Simplify right side
    427,624.49x = 138,107,483,794.40
  5. Step 5: Solve for x
    x = 138,107,483,794.40/427,624.49
  6. Step 6: Final answer
    x = 322,964.39

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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.