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Finding the Fourth Proportional to 364,057.92, 502,416.99 and 202,914

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Solution

The fourth proportional to 364,057.92, 502,416.99 and 202,914 is: 280,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057.92 : 502,416.99 = 202,914 : x
  2. Step 2: Convert to fraction form
    364,057.92/502,416.99 = 202,914/x
  3. Step 3: Cross multiply
    364,057.92x = 502,416.99 × 202,914
  4. Step 4: Simplify right side
    364,057.92x = 101,947,441,108.86
  5. Step 5: Solve for x
    x = 101,947,441,108.86/364,057.92
  6. Step 6: Final answer
    x = 280,030.83

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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.