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Finding the Fourth Proportional to 407,611.58, 562,476.57 and 226,314.14

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Solution

The fourth proportional to 407,611.58, 562,476.57 and 226,314.14 is: 312,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,611.58 : 562,476.57 = 226,314.14 : x
  2. Step 2: Convert to fraction form
    407,611.58/562,476.57 = 226,314.14/x
  3. Step 3: Cross multiply
    407,611.58x = 562,476.57 × 226,314.14
  4. Step 4: Simplify right side
    407,611.58x = 127,296,401,209.70
  5. Step 5: Solve for x
    x = 127,296,401,209.70/407,611.58
  6. Step 6: Final answer
    x = 312,298.29

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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.