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Finding the Fourth Proportional to 302,042.40, 416,809.60 and 166,076.20

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Solution

The fourth proportional to 302,042.40, 416,809.60 and 166,076.20 is: 229,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,042.40 : 416,809.60 = 166,076.20 : x
  2. Step 2: Convert to fraction form
    302,042.40/416,809.60 = 166,076.20/x
  3. Step 3: Cross multiply
    302,042.40x = 416,809.60 × 166,076.20
  4. Step 4: Simplify right side
    302,042.40x = 69,222,154,491.52
  5. Step 5: Solve for x
    x = 69,222,154,491.52/302,042.40
  6. Step 6: Final answer
    x = 229,180.26

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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.