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Finding the Fourth Proportional to 265,864.04, 398,571.89 and 115,994.40

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Solution

The fourth proportional to 265,864.04, 398,571.89 and 115,994.40 is: 173,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864.04 : 398,571.89 = 115,994.40 : x
  2. Step 2: Convert to fraction form
    265,864.04/398,571.89 = 115,994.40/x
  3. Step 3: Cross multiply
    265,864.04x = 398,571.89 × 115,994.40
  4. Step 4: Simplify right side
    265,864.04x = 46,232,106,657.44
  5. Step 5: Solve for x
    x = 46,232,106,657.44/265,864.04
  6. Step 6: Final answer
    x = 173,893.80

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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.