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Finding the Fourth Proportional to 584,383.74, 806,321.43 and 380,412.78

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Solution

The fourth proportional to 584,383.74, 806,321.43 and 380,412.78 is: 524,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,383.74 : 806,321.43 = 380,412.78 : x
  2. Step 2: Convert to fraction form
    584,383.74/806,321.43 = 380,412.78/x
  3. Step 3: Cross multiply
    584,383.74x = 806,321.43 × 380,412.78
  4. Step 4: Simplify right side
    584,383.74x = 306,734,976,759.88
  5. Step 5: Solve for x
    x = 306,734,976,759.88/584,383.74
  6. Step 6: Final answer
    x = 524,886.23

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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.