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Finding the Fourth Proportional to 302,774.48, 417,829.16 and 164,952.72

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Solution

The fourth proportional to 302,774.48, 417,829.16 and 164,952.72 is: 227,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,774.48 : 417,829.16 = 164,952.72 : x
  2. Step 2: Convert to fraction form
    302,774.48/417,829.16 = 164,952.72/x
  3. Step 3: Cross multiply
    302,774.48x = 417,829.16 × 164,952.72
  4. Step 4: Simplify right side
    302,774.48x = 68,922,056,849.70
  5. Step 5: Solve for x
    x = 68,922,056,849.70/302,774.48
  6. Step 6: Final answer
    x = 227,634.96

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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.