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Finding the Fourth Proportional to 417,614.56, 576,312.32 and 226,629.60

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Solution

The fourth proportional to 417,614.56, 576,312.32 and 226,629.60 is: 312,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,614.56 : 576,312.32 = 226,629.60 : x
  2. Step 2: Convert to fraction form
    417,614.56/576,312.32 = 226,629.60/x
  3. Step 3: Cross multiply
    417,614.56x = 576,312.32 × 226,629.60
  4. Step 4: Simplify right side
    417,614.56x = 130,609,430,556.67
  5. Step 5: Solve for x
    x = 130,609,430,556.67/417,614.56
  6. Step 6: Final answer
    x = 312,751.14

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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.