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Finding the Fourth Proportional to 302,677.97, 417,698.40 and 166,716.74

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Solution

The fourth proportional to 302,677.97, 417,698.40 and 166,716.74 is: 230,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,677.97 : 417,698.40 = 166,716.74 : x
  2. Step 2: Convert to fraction form
    302,677.97/417,698.40 = 166,716.74/x
  3. Step 3: Cross multiply
    302,677.97x = 417,698.40 × 166,716.74
  4. Step 4: Simplify right side
    302,677.97x = 69,637,313,462.72
  5. Step 5: Solve for x
    x = 69,637,313,462.72/302,677.97
  6. Step 6: Final answer
    x = 230,070.64

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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.