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Finding the Fourth Proportional to 407,783.92, 562,737.24 and 226,497.52

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Solution

The fourth proportional to 407,783.92, 562,737.24 and 226,497.52 is: 312,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,783.92 : 562,737.24 = 226,497.52 : x
  2. Step 2: Convert to fraction form
    407,783.92/562,737.24 = 226,497.52/x
  3. Step 3: Cross multiply
    407,783.92x = 562,737.24 × 226,497.52
  4. Step 4: Simplify right side
    407,783.92x = 127,458,589,271.65
  5. Step 5: Solve for x
    x = 127,458,589,271.65/407,783.92
  6. Step 6: Final answer
    x = 312,564.04

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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.