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Finding the Fourth Proportional to 407,405.62, 562,246.03 and 226,117.56

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Solution

The fourth proportional to 407,405.62, 562,246.03 and 226,117.56 is: 312,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,405.62 : 562,246.03 = 226,117.56 : x
  2. Step 2: Convert to fraction form
    407,405.62/562,246.03 = 226,117.56/x
  3. Step 3: Cross multiply
    407,405.62x = 562,246.03 × 226,117.56
  4. Step 4: Simplify right side
    407,405.62x = 127,133,702,814.36
  5. Step 5: Solve for x
    x = 127,133,702,814.36/407,405.62
  6. Step 6: Final answer
    x = 312,056.82

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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.