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Finding the Fourth Proportional to 302,983.82, 418,098.88 and 167,010.74

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Solution

The fourth proportional to 302,983.82, 418,098.88 and 167,010.74 is: 230,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,983.82 : 418,098.88 = 167,010.74 : x
  2. Step 2: Convert to fraction form
    302,983.82/418,098.88 = 167,010.74/x
  3. Step 3: Cross multiply
    302,983.82x = 418,098.88 × 167,010.74
  4. Step 4: Simplify right side
    302,983.82x = 69,827,000,833.95
  5. Step 5: Solve for x
    x = 69,827,000,833.95/302,983.82
  6. Step 6: Final answer
    x = 230,464.46

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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.