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Finding the Fourth Proportional to 302,050.40, 416,834.40 and 166,090.40

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Solution

The fourth proportional to 302,050.40, 416,834.40 and 166,090.40 is: 229,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,050.40 : 416,834.40 = 166,090.40 : x
  2. Step 2: Convert to fraction form
    302,050.40/416,834.40 = 166,090.40/x
  3. Step 3: Cross multiply
    302,050.40x = 416,834.40 × 166,090.40
  4. Step 4: Simplify right side
    302,050.40x = 69,232,192,229.76
  5. Step 5: Solve for x
    x = 69,232,192,229.76/302,050.40
  6. Step 6: Final answer
    x = 229,207.42

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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.