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Finding the Fourth Proportional to 407,575.60, 562,460.94 and 226,299.22

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Solution

The fourth proportional to 407,575.60, 562,460.94 and 226,299.22 is: 312,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,575.60 : 562,460.94 = 226,299.22 : x
  2. Step 2: Convert to fraction form
    407,575.60/562,460.94 = 226,299.22/x
  3. Step 3: Cross multiply
    407,575.60x = 562,460.94 × 226,299.22
  4. Step 4: Simplify right side
    407,575.60x = 127,284,472,002.47
  5. Step 5: Solve for x
    x = 127,284,472,002.47/407,575.60
  6. Step 6: Final answer
    x = 312,296.59

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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.