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Finding the Fourth Proportional to 301,222.98, 415,644.57 and 180,335.34

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Solution

The fourth proportional to 301,222.98, 415,644.57 and 180,335.34 is: 248,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,222.98 : 415,644.57 = 180,335.34 : x
  2. Step 2: Convert to fraction form
    301,222.98/415,644.57 = 180,335.34/x
  3. Step 3: Cross multiply
    301,222.98x = 415,644.57 × 180,335.34
  4. Step 4: Simplify right side
    301,222.98x = 74,955,404,850.10
  5. Step 5: Solve for x
    x = 74,955,404,850.10/301,222.98
  6. Step 6: Final answer
    x = 248,836.94

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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.