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Finding the Fourth Proportional to 302,847.30, 417,923.64 and 166,893.84

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Solution

The fourth proportional to 302,847.30, 417,923.64 and 166,893.84 is: 230,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,847.30 : 417,923.64 = 166,893.84 : x
  2. Step 2: Convert to fraction form
    302,847.30/417,923.64 = 166,893.84/x
  3. Step 3: Cross multiply
    302,847.30x = 417,923.64 × 166,893.84
  4. Step 4: Simplify right side
    302,847.30x = 69,748,881,106.38
  5. Step 5: Solve for x
    x = 69,748,881,106.38/302,847.30
  6. Step 6: Final answer
    x = 230,310.39

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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.