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Finding the Fourth Proportional to 468,091.44, 645,805.71 and 264,117.24

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Solution

The fourth proportional to 468,091.44, 645,805.71 and 264,117.24 is: 364,391.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,091.44 : 645,805.71 = 264,117.24 : x
  2. Step 2: Convert to fraction form
    468,091.44/645,805.71 = 264,117.24/x
  3. Step 3: Cross multiply
    468,091.44x = 645,805.71 × 264,117.24
  4. Step 4: Simplify right side
    468,091.44x = 170,568,421,701.44
  5. Step 5: Solve for x
    x = 170,568,421,701.44/468,091.44
  6. Step 6: Final answer
    x = 364,391.24

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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.