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Finding the Fourth Proportional to 407,270.82, 562,025.10 and 225,978.87

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Solution

The fourth proportional to 407,270.82, 562,025.10 and 225,978.87 is: 311,846.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,270.82 : 562,025.10 = 225,978.87 : x
  2. Step 2: Convert to fraction form
    407,270.82/562,025.10 = 225,978.87/x
  3. Step 3: Cross multiply
    407,270.82x = 562,025.10 × 225,978.87
  4. Step 4: Simplify right side
    407,270.82x = 127,005,797,009.64
  5. Step 5: Solve for x
    x = 127,005,797,009.64/407,270.82
  6. Step 6: Final answer
    x = 311,846.05

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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.