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Finding the Fourth Proportional to 431,994.58, 648,281.10 and 179,275.33

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Solution

The fourth proportional to 431,994.58, 648,281.10 and 179,275.33 is: 269,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,994.58 : 648,281.10 = 179,275.33 : x
  2. Step 2: Convert to fraction form
    431,994.58/648,281.10 = 179,275.33/x
  3. Step 3: Cross multiply
    431,994.58x = 648,281.10 × 179,275.33
  4. Step 4: Simplify right side
    431,994.58x = 116,220,808,135.26
  5. Step 5: Solve for x
    x = 116,220,808,135.26/431,994.58
  6. Step 6: Final answer
    x = 269,033.02

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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.