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Finding the Fourth Proportional to 407,633.40, 562,544.64 and 226,352.97

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Solution

The fourth proportional to 407,633.40, 562,544.64 and 226,352.97 is: 312,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,633.40 : 562,544.64 = 226,352.97 : x
  2. Step 2: Convert to fraction form
    407,633.40/562,544.64 = 226,352.97/x
  3. Step 3: Cross multiply
    407,633.40x = 562,544.64 × 226,352.97
  4. Step 4: Simplify right side
    407,633.40x = 127,333,650,021.58
  5. Step 5: Solve for x
    x = 127,333,650,021.58/407,633.40
  6. Step 6: Final answer
    x = 312,372.96

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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.