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Finding the Fourth Proportional to 407,406.44, 562,290.47 and 235,293.47

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Solution

The fourth proportional to 407,406.44, 562,290.47 and 235,293.47 is: 324,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,406.44 : 562,290.47 = 235,293.47 : x
  2. Step 2: Convert to fraction form
    407,406.44/562,290.47 = 235,293.47/x
  3. Step 3: Cross multiply
    407,406.44x = 562,290.47 × 235,293.47
  4. Step 4: Simplify right side
    407,406.44x = 132,303,273,954.90
  5. Step 5: Solve for x
    x = 132,303,273,954.90/407,406.44
  6. Step 6: Final answer
    x = 324,745.17

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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.