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Finding the Fourth Proportional to 302,654.22, 417,631.92 and 186,349.22

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Solution

The fourth proportional to 302,654.22, 417,631.92 and 186,349.22 is: 257,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,654.22 : 417,631.92 = 186,349.22 : x
  2. Step 2: Convert to fraction form
    302,654.22/417,631.92 = 186,349.22/x
  3. Step 3: Cross multiply
    302,654.22x = 417,631.92 × 186,349.22
  4. Step 4: Simplify right side
    302,654.22x = 77,825,382,539.10
  5. Step 5: Solve for x
    x = 77,825,382,539.10/302,654.22
  6. Step 6: Final answer
    x = 257,142.90

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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.