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Finding the Fourth Proportional to 302,741.60, 417,767.12 and 166,770.88

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Solution

The fourth proportional to 302,741.60, 417,767.12 and 166,770.88 is: 230,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,741.60 : 417,767.12 = 166,770.88 : x
  2. Step 2: Convert to fraction form
    302,741.60/417,767.12 = 166,770.88/x
  3. Step 3: Cross multiply
    302,741.60x = 417,767.12 × 166,770.88
  4. Step 4: Simplify right side
    302,741.60x = 69,671,390,237.47
  5. Step 5: Solve for x
    x = 69,671,390,237.47/302,741.60
  6. Step 6: Final answer
    x = 230,134.84

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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.