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Finding the Fourth Proportional to 302,811.62, 417,877.95 and 166,842.40

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Solution

The fourth proportional to 302,811.62, 417,877.95 and 166,842.40 is: 230,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,811.62 : 417,877.95 = 166,842.40 : x
  2. Step 2: Convert to fraction form
    302,811.62/417,877.95 = 166,842.40/x
  3. Step 3: Cross multiply
    302,811.62x = 417,877.95 × 166,842.40
  4. Step 4: Simplify right side
    302,811.62x = 69,719,760,449.57
  5. Step 5: Solve for x
    x = 69,719,760,449.57/302,811.62
  6. Step 6: Final answer
    x = 230,241.37

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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.