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Finding the Fourth Proportional to 407,797.74, 562,742.64 and 226,522.17

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Solution

The fourth proportional to 407,797.74, 562,742.64 and 226,522.17 is: 312,590.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,797.74 : 562,742.64 = 226,522.17 : x
  2. Step 2: Convert to fraction form
    407,797.74/562,742.64 = 226,522.17/x
  3. Step 3: Cross multiply
    407,797.74x = 562,742.64 × 226,522.17
  4. Step 4: Simplify right side
    407,797.74x = 127,473,683,964.33
  5. Step 5: Solve for x
    x = 127,473,683,964.33/407,797.74
  6. Step 6: Final answer
    x = 312,590.46

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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.