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Finding the Fourth Proportional to 299,578.32, 413,228.25 and 227,800.98

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Solution

The fourth proportional to 299,578.32, 413,228.25 and 227,800.98 is: 314,221.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,578.32 : 413,228.25 = 227,800.98 : x
  2. Step 2: Convert to fraction form
    299,578.32/413,228.25 = 227,800.98/x
  3. Step 3: Cross multiply
    299,578.32x = 413,228.25 × 227,800.98
  4. Step 4: Simplify right side
    299,578.32x = 94,133,800,313.69
  5. Step 5: Solve for x
    x = 94,133,800,313.69/299,578.32
  6. Step 6: Final answer
    x = 314,221.00

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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.