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Finding the Fourth Proportional to 597,041.28, 895,224.96 and 222,912

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Solution

The fourth proportional to 597,041.28, 895,224.96 and 222,912 is: 334,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,041.28 : 895,224.96 = 222,912 : x
  2. Step 2: Convert to fraction form
    597,041.28/895,224.96 = 222,912/x
  3. Step 3: Cross multiply
    597,041.28x = 895,224.96 × 222,912
  4. Step 4: Simplify right side
    597,041.28x = 199,556,386,283.52
  5. Step 5: Solve for x
    x = 199,556,386,283.52/597,041.28
  6. Step 6: Final answer
    x = 334,242.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.