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Finding the Fourth Proportional to 302,649.50, 417,675.18 and 166,683.40

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Solution

The fourth proportional to 302,649.50, 417,675.18 and 166,683.40 is: 230,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,649.50 : 417,675.18 = 166,683.40 : x
  2. Step 2: Convert to fraction form
    302,649.50/417,675.18 = 166,683.40/x
  3. Step 3: Cross multiply
    302,649.50x = 417,675.18 × 166,683.40
  4. Step 4: Simplify right side
    302,649.50x = 69,619,519,098.01
  5. Step 5: Solve for x
    x = 69,619,519,098.01/302,649.50
  6. Step 6: Final answer
    x = 230,033.48

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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.