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Finding the Fourth Proportional to 407,751.87, 562,742.24 and 233,338.22

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Solution

The fourth proportional to 407,751.87, 562,742.24 and 233,338.22 is: 322,032.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,751.87 : 562,742.24 = 233,338.22 : x
  2. Step 2: Convert to fraction form
    407,751.87/562,742.24 = 233,338.22/x
  3. Step 3: Cross multiply
    407,751.87x = 562,742.24 × 233,338.22
  4. Step 4: Simplify right side
    407,751.87x = 131,309,270,730.29
  5. Step 5: Solve for x
    x = 131,309,270,730.29/407,751.87
  6. Step 6: Final answer
    x = 322,032.29

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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.