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Finding the Fourth Proportional to 302,644.52, 417,524.10 and 180,112.40

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Solution

The fourth proportional to 302,644.52, 417,524.10 and 180,112.40 is: 248,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,644.52 : 417,524.10 = 180,112.40 : x
  2. Step 2: Convert to fraction form
    302,644.52/417,524.10 = 180,112.40/x
  3. Step 3: Cross multiply
    302,644.52x = 417,524.10 × 180,112.40
  4. Step 4: Simplify right side
    302,644.52x = 75,201,267,708.84
  5. Step 5: Solve for x
    x = 75,201,267,708.84/302,644.52
  6. Step 6: Final answer
    x = 248,480.52

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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.