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Finding the Fourth Proportional to 299,088.46, 412,727.51 and 178,227.05

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Solution

The fourth proportional to 299,088.46, 412,727.51 and 178,227.05 is: 245,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088.46 : 412,727.51 = 178,227.05 : x
  2. Step 2: Convert to fraction form
    299,088.46/412,727.51 = 178,227.05/x
  3. Step 3: Cross multiply
    299,088.46x = 412,727.51 × 178,227.05
  4. Step 4: Simplify right side
    299,088.46x = 73,559,205,670.01
  5. Step 5: Solve for x
    x = 73,559,205,670.01/299,088.46
  6. Step 6: Final answer
    x = 245,944.65

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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.