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Finding the Fourth Proportional to 534,805.74, 738,020.16 and 293,083.20

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Solution

The fourth proportional to 534,805.74, 738,020.16 and 293,083.20 is: 404,448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,805.74 : 738,020.16 = 293,083.20 : x
  2. Step 2: Convert to fraction form
    534,805.74/738,020.16 = 293,083.20/x
  3. Step 3: Cross multiply
    534,805.74x = 738,020.16 × 293,083.20
  4. Step 4: Simplify right side
    534,805.74x = 216,301,310,157.31
  5. Step 5: Solve for x
    x = 216,301,310,157.31/534,805.74
  6. Step 6: Final answer
    x = 404,448.37

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1.5x scale

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.