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Finding the Fourth Proportional to 467,987.29, 645,767.85 and 264,041.44

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Solution

The fourth proportional to 467,987.29, 645,767.85 and 264,041.44 is: 364,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,987.29 : 645,767.85 = 264,041.44 : x
  2. Step 2: Convert to fraction form
    467,987.29/645,767.85 = 264,041.44/x
  3. Step 3: Cross multiply
    467,987.29x = 645,767.85 × 264,041.44
  4. Step 4: Simplify right side
    467,987.29x = 170,509,473,019.70
  5. Step 5: Solve for x
    x = 170,509,473,019.70/467,987.29
  6. Step 6: Final answer
    x = 364,346.38

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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.