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Finding the Fourth Proportional to 525,069.14, 786,451.50 and 434,080.64

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Solution

The fourth proportional to 525,069.14, 786,451.50 and 434,080.64 is: 650,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,069.14 : 786,451.50 = 434,080.64 : x
  2. Step 2: Convert to fraction form
    525,069.14/786,451.50 = 434,080.64/x
  3. Step 3: Cross multiply
    525,069.14x = 786,451.50 × 434,080.64
  4. Step 4: Simplify right side
    525,069.14x = 341,383,366,516.70
  5. Step 5: Solve for x
    x = 341,383,366,516.70/525,069.14
  6. Step 6: Final answer
    x = 650,168.41

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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.