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Finding the Fourth Proportional to 297,648.91, 410,762.37 and 161,688.25

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Solution

The fourth proportional to 297,648.91, 410,762.37 and 161,688.25 is: 223,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,648.91 : 410,762.37 = 161,688.25 : x
  2. Step 2: Convert to fraction form
    297,648.91/410,762.37 = 161,688.25/x
  3. Step 3: Cross multiply
    297,648.91x = 410,762.37 × 161,688.25
  4. Step 4: Simplify right side
    297,648.91x = 66,415,448,771.15
  5. Step 5: Solve for x
    x = 66,415,448,771.15/297,648.91
  6. Step 6: Final answer
    x = 223,133.52

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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.