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Finding the Fourth Proportional to 301,784.84, 452,678.25 and 112,286.96

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Solution

The fourth proportional to 301,784.84, 452,678.25 and 112,286.96 is: 168,430.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,784.84 : 452,678.25 = 112,286.96 : x
  2. Step 2: Convert to fraction form
    301,784.84/452,678.25 = 112,286.96/x
  3. Step 3: Cross multiply
    301,784.84x = 452,678.25 × 112,286.96
  4. Step 4: Simplify right side
    301,784.84x = 50,829,864,550.62
  5. Step 5: Solve for x
    x = 50,829,864,550.62/301,784.84
  6. Step 6: Final answer
    x = 168,430.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.