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Finding the Fourth Proportional to 302,853.53, 417,956.15 and 166,887.24

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Solution

The fourth proportional to 302,853.53, 417,956.15 and 166,887.24 is: 230,314.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,853.53 : 417,956.15 = 166,887.24 : x
  2. Step 2: Convert to fraction form
    302,853.53/417,956.15 = 166,887.24/x
  3. Step 3: Cross multiply
    302,853.53x = 417,956.15 × 166,887.24
  4. Step 4: Simplify right side
    302,853.53x = 69,751,548,731.74
  5. Step 5: Solve for x
    x = 69,751,548,731.74/302,853.53
  6. Step 6: Final answer
    x = 230,314.47

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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.