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Finding the Fourth Proportional to 431,984.58, 648,266.10 and 179,265.32

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Solution

The fourth proportional to 431,984.58, 648,266.10 and 179,265.32 is: 269,018.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,984.58 : 648,266.10 = 179,265.32 : x
  2. Step 2: Convert to fraction form
    431,984.58/648,266.10 = 179,265.32/x
  3. Step 3: Cross multiply
    431,984.58x = 648,266.10 × 179,265.32
  4. Step 4: Simplify right side
    431,984.58x = 116,211,626,620.32
  5. Step 5: Solve for x
    x = 116,211,626,620.32/431,984.58
  6. Step 6: Final answer
    x = 269,018.00

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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.