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Finding the Fourth Proportional to 302,546.48, 417,514.13 and 168,410.48

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Solution

The fourth proportional to 302,546.48, 417,514.13 and 168,410.48 is: 232,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,546.48 : 417,514.13 = 168,410.48 : x
  2. Step 2: Convert to fraction form
    302,546.48/417,514.13 = 168,410.48/x
  3. Step 3: Cross multiply
    302,546.48x = 417,514.13 × 168,410.48
  4. Step 4: Simplify right side
    302,546.48x = 70,313,752,742.00
  5. Step 5: Solve for x
    x = 70,313,752,742.00/302,546.48
  6. Step 6: Final answer
    x = 232,406.45

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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.