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Finding the Fourth Proportional to 298,533, 411,969.63 and 162,568.56

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Solution

The fourth proportional to 298,533, 411,969.63 and 162,568.56 is: 224,341.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,533 : 411,969.63 = 162,568.56 : x
  2. Step 2: Convert to fraction form
    298,533/411,969.63 = 162,568.56/x
  3. Step 3: Cross multiply
    298,533x = 411,969.63 × 162,568.56
  4. Step 4: Simplify right side
    298,533x = 66,973,309,512.83
  5. Step 5: Solve for x
    x = 66,973,309,512.83/298,533
  6. Step 6: Final answer
    x = 224,341.39

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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.