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Finding the Fourth Proportional to 302,079.48, 416,862.87 and 164,255.40

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Solution

The fourth proportional to 302,079.48, 416,862.87 and 164,255.40 is: 226,668.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,079.48 : 416,862.87 = 164,255.40 : x
  2. Step 2: Convert to fraction form
    302,079.48/416,862.87 = 164,255.40/x
  3. Step 3: Cross multiply
    302,079.48x = 416,862.87 × 164,255.40
  4. Step 4: Simplify right side
    302,079.48x = 68,471,977,457.00
  5. Step 5: Solve for x
    x = 68,471,977,457.00/302,079.48
  6. Step 6: Final answer
    x = 226,668.75

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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.