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Finding the Fourth Proportional to 407,321.64, 562,089 and 226,041.48

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Solution

The fourth proportional to 407,321.64, 562,089 and 226,041.48 is: 311,928.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,321.64 : 562,089 = 226,041.48 : x
  2. Step 2: Convert to fraction form
    407,321.64/562,089 = 226,041.48/x
  3. Step 3: Cross multiply
    407,321.64x = 562,089 × 226,041.48
  4. Step 4: Simplify right side
    407,321.64x = 127,055,429,451.72
  5. Step 5: Solve for x
    x = 127,055,429,451.72/407,321.64
  6. Step 6: Final answer
    x = 311,928.99

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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.