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Finding the Fourth Proportional to 301,019.52, 415,403.73 and 165,053.04

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Solution

The fourth proportional to 301,019.52, 415,403.73 and 165,053.04 is: 227,771.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,019.52 : 415,403.73 = 165,053.04 : x
  2. Step 2: Convert to fraction form
    301,019.52/415,403.73 = 165,053.04/x
  3. Step 3: Cross multiply
    301,019.52x = 415,403.73 × 165,053.04
  4. Step 4: Simplify right side
    301,019.52x = 68,563,648,463.84
  5. Step 5: Solve for x
    x = 68,563,648,463.84/301,019.52
  6. Step 6: Final answer
    x = 227,771.44

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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.