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Finding the Fourth Proportional to 407,227.42, 562,004.68 and 225,973.64

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Solution

The fourth proportional to 407,227.42, 562,004.68 and 225,973.64 is: 311,860.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,227.42 : 562,004.68 = 225,973.64 : x
  2. Step 2: Convert to fraction form
    407,227.42/562,004.68 = 225,973.64/x
  3. Step 3: Cross multiply
    407,227.42x = 562,004.68 × 225,973.64
  4. Step 4: Simplify right side
    407,227.42x = 126,998,242,106.77
  5. Step 5: Solve for x
    x = 126,998,242,106.77/407,227.42
  6. Step 6: Final answer
    x = 311,860.73

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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.