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Finding the Fourth Proportional to 407,851.94, 562,816.58 and 226,574.92

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Solution

The fourth proportional to 407,851.94, 562,816.58 and 226,574.92 is: 312,662.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,851.94 : 562,816.58 = 226,574.92 : x
  2. Step 2: Convert to fraction form
    407,851.94/562,816.58 = 226,574.92/x
  3. Step 3: Cross multiply
    407,851.94x = 562,816.58 × 226,574.92
  4. Step 4: Simplify right side
    407,851.94x = 127,520,121,158.82
  5. Step 5: Solve for x
    x = 127,520,121,158.82/407,851.94
  6. Step 6: Final answer
    x = 312,662.78

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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.