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Finding the Fourth Proportional to 302,103.48, 416,963.16 and 230,355.36

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Solution

The fourth proportional to 302,103.48, 416,963.16 and 230,355.36 is: 317,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,103.48 : 416,963.16 = 230,355.36 : x
  2. Step 2: Convert to fraction form
    302,103.48/416,963.16 = 230,355.36/x
  3. Step 3: Cross multiply
    302,103.48x = 416,963.16 × 230,355.36
  4. Step 4: Simplify right side
    302,103.48x = 96,049,698,828.54
  5. Step 5: Solve for x
    x = 96,049,698,828.54/302,103.48
  6. Step 6: Final answer
    x = 317,936.42

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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.