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Finding the Fourth Proportional to 253,037.04, 380,022.12 and 200,782.32

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Solution

The fourth proportional to 253,037.04, 380,022.12 and 200,782.32 is: 301,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,037.04 : 380,022.12 = 200,782.32 : x
  2. Step 2: Convert to fraction form
    253,037.04/380,022.12 = 200,782.32/x
  3. Step 3: Cross multiply
    253,037.04x = 380,022.12 × 200,782.32
  4. Step 4: Simplify right side
    253,037.04x = 76,301,722,904.92
  5. Step 5: Solve for x
    x = 76,301,722,904.92/253,037.04
  6. Step 6: Final answer
    x = 301,543.69

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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.