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Finding the Fourth Proportional to 304,771.77, 457,187.72 and 105,065.87

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Solution

The fourth proportional to 304,771.77, 457,187.72 and 105,065.87 is: 157,609.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,771.77 : 457,187.72 = 105,065.87 : x
  2. Step 2: Convert to fraction form
    304,771.77/457,187.72 = 105,065.87/x
  3. Step 3: Cross multiply
    304,771.77x = 457,187.72 × 105,065.87
  4. Step 4: Simplify right side
    304,771.77x = 48,034,822,743.85
  5. Step 5: Solve for x
    x = 48,034,822,743.85/304,771.77
  6. Step 6: Final answer
    x = 157,609.16

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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.