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Finding the Fourth Proportional to 525,067.83, 786,449.53 and 434,079.32

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Solution

The fourth proportional to 525,067.83, 786,449.53 and 434,079.32 is: 650,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,067.83 : 786,449.53 = 434,079.32 : x
  2. Step 2: Convert to fraction form
    525,067.83/786,449.53 = 434,079.32/x
  3. Step 3: Cross multiply
    525,067.83x = 786,449.53 × 434,079.32
  4. Step 4: Simplify right side
    525,067.83x = 341,381,476,756.26
  5. Step 5: Solve for x
    x = 341,381,476,756.26/525,067.83
  6. Step 6: Final answer
    x = 650,166.43

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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.