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Finding the Fourth Proportional to 297,290.59, 410,165.57 and 166,448.96

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Solution

The fourth proportional to 297,290.59, 410,165.57 and 166,448.96 is: 229,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,290.59 : 410,165.57 = 166,448.96 : x
  2. Step 2: Convert to fraction form
    297,290.59/410,165.57 = 166,448.96/x
  3. Step 3: Cross multiply
    297,290.59x = 410,165.57 × 166,448.96
  4. Step 4: Simplify right side
    297,290.59x = 68,271,632,457.72
  5. Step 5: Solve for x
    x = 68,271,632,457.72/297,290.59
  6. Step 6: Final answer
    x = 229,646.13

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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.