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Finding the Fourth Proportional to 567,266.40, 850,899.60 and 407,834.10

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Solution

The fourth proportional to 567,266.40, 850,899.60 and 407,834.10 is: 611,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,266.40 : 850,899.60 = 407,834.10 : x
  2. Step 2: Convert to fraction form
    567,266.40/850,899.60 = 407,834.10/x
  3. Step 3: Cross multiply
    567,266.40x = 850,899.60 × 407,834.10
  4. Step 4: Simplify right side
    567,266.40x = 347,025,872,556.36
  5. Step 5: Solve for x
    x = 347,025,872,556.36/567,266.40
  6. Step 6: Final answer
    x = 611,751.15

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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.