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Finding the Fourth Proportional to 508,401, 701,593.38 and 282,048.12

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Solution

The fourth proportional to 508,401, 701,593.38 and 282,048.12 is: 389,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,401 : 701,593.38 = 282,048.12 : x
  2. Step 2: Convert to fraction form
    508,401/701,593.38 = 282,048.12/x
  3. Step 3: Cross multiply
    508,401x = 701,593.38 × 282,048.12
  4. Step 4: Simplify right side
    508,401x = 197,883,093,833.45
  5. Step 5: Solve for x
    x = 197,883,093,833.45/508,401
  6. Step 6: Final answer
    x = 389,226.41

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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.