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Finding the Fourth Proportional to 365,022.60, 503,741.34 and 201,689.63

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Solution

The fourth proportional to 365,022.60, 503,741.34 and 201,689.63 is: 278,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,022.60 : 503,741.34 = 201,689.63 : x
  2. Step 2: Convert to fraction form
    365,022.60/503,741.34 = 201,689.63/x
  3. Step 3: Cross multiply
    365,022.60x = 503,741.34 × 201,689.63
  4. Step 4: Simplify right side
    365,022.60x = 101,599,401,457.37
  5. Step 5: Solve for x
    x = 101,599,401,457.37/365,022.60
  6. Step 6: Final answer
    x = 278,337.29

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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.