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Finding the Fourth Proportional to 302,604.84, 417,469.36 and 180,072.69

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Solution

The fourth proportional to 302,604.84, 417,469.36 and 180,072.69 is: 248,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,604.84 : 417,469.36 = 180,072.69 : x
  2. Step 2: Convert to fraction form
    302,604.84/417,469.36 = 180,072.69/x
  3. Step 3: Cross multiply
    302,604.84x = 417,469.36 × 180,072.69
  4. Step 4: Simplify right side
    302,604.84x = 75,174,829,090.64
  5. Step 5: Solve for x
    x = 75,174,829,090.64/302,604.84
  6. Step 6: Final answer
    x = 248,425.73

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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.