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Finding the Fourth Proportional to 534,806.74, 738,021.54 and 293,084.20

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Solution

The fourth proportional to 534,806.74, 738,021.54 and 293,084.20 is: 404,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,806.74 : 738,021.54 = 293,084.20 : x
  2. Step 2: Convert to fraction form
    534,806.74/738,021.54 = 293,084.20/x
  3. Step 3: Cross multiply
    534,806.74x = 738,021.54 × 293,084.20
  4. Step 4: Simplify right side
    534,806.74x = 216,302,452,633.67
  5. Step 5: Solve for x
    x = 216,302,452,633.67/534,806.74
  6. Step 6: Final answer
    x = 404,449.75

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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.