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Finding the Fourth Proportional to 463,704.95, 638,820.37 and 435,804.30

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Solution

The fourth proportional to 463,704.95, 638,820.37 and 435,804.30 is: 600,383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,704.95 : 638,820.37 = 435,804.30 : x
  2. Step 2: Convert to fraction form
    463,704.95/638,820.37 = 435,804.30/x
  3. Step 3: Cross multiply
    463,704.95x = 638,820.37 × 435,804.30
  4. Step 4: Simplify right side
    463,704.95x = 278,400,664,173.59
  5. Step 5: Solve for x
    x = 278,400,664,173.59/463,704.95
  6. Step 6: Final answer
    x = 600,383.21

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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.