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Finding the Fourth Proportional to 302,314.28, 417,194.10 and 168,178.28

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Solution

The fourth proportional to 302,314.28, 417,194.10 and 168,178.28 is: 232,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,314.28 : 417,194.10 = 168,178.28 : x
  2. Step 2: Convert to fraction form
    302,314.28/417,194.10 = 168,178.28/x
  3. Step 3: Cross multiply
    302,314.28x = 417,194.10 × 168,178.28
  4. Step 4: Simplify right side
    302,314.28x = 70,162,986,164.15
  5. Step 5: Solve for x
    x = 70,162,986,164.15/302,314.28
  6. Step 6: Final answer
    x = 232,086.25

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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.