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Finding the Fourth Proportional to 827,593.10, 1,242,004.05 and 329,314.70

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Solution

The fourth proportional to 827,593.10, 1,242,004.05 and 329,314.70 is: 494,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,593.10 : 1,242,004.05 = 329,314.70 : x
  2. Step 2: Convert to fraction form
    827,593.10/1,242,004.05 = 329,314.70/x
  3. Step 3: Cross multiply
    827,593.10x = 1,242,004.05 × 329,314.70
  4. Step 4: Simplify right side
    827,593.10x = 409,010,191,124.54
  5. Step 5: Solve for x
    x = 409,010,191,124.54/827,593.10
  6. Step 6: Final answer
    x = 494,216.53

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1.5x scale

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.