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Finding the Fourth Proportional to 302,315.84, 417,183.34 and 164,495.33

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Solution

The fourth proportional to 302,315.84, 417,183.34 and 164,495.33 is: 226,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,315.84 : 417,183.34 = 164,495.33 : x
  2. Step 2: Convert to fraction form
    302,315.84/417,183.34 = 164,495.33/x
  3. Step 3: Cross multiply
    302,315.84x = 417,183.34 × 164,495.33
  4. Step 4: Simplify right side
    302,315.84x = 68,624,711,183.80
  5. Step 5: Solve for x
    x = 68,624,711,183.80/302,315.84
  6. Step 6: Final answer
    x = 226,996.74

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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.