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Finding the Fourth Proportional to 302,252.97, 417,109.10 and 166,284.01

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Solution

The fourth proportional to 302,252.97, 417,109.10 and 166,284.01 is: 229,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,252.97 : 417,109.10 = 166,284.01 : x
  2. Step 2: Convert to fraction form
    302,252.97/417,109.10 = 166,284.01/x
  3. Step 3: Cross multiply
    302,252.97x = 417,109.10 × 166,284.01
  4. Step 4: Simplify right side
    302,252.97x = 69,358,571,099.22
  5. Step 5: Solve for x
    x = 69,358,571,099.22/302,252.97
  6. Step 6: Final answer
    x = 229,471.93

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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.