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Finding the Fourth Proportional to 427,008.54, 589,271.69 and 233,417.03

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Solution

The fourth proportional to 427,008.54, 589,271.69 and 233,417.03 is: 322,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,008.54 : 589,271.69 = 233,417.03 : x
  2. Step 2: Convert to fraction form
    427,008.54/589,271.69 = 233,417.03/x
  3. Step 3: Cross multiply
    427,008.54x = 589,271.69 × 233,417.03
  4. Step 4: Simplify right side
    427,008.54x = 137,546,045,380.07
  5. Step 5: Solve for x
    x = 137,546,045,380.07/427,008.54
  6. Step 6: Final answer
    x = 322,115.44

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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.