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Finding the Fourth Proportional to 632,533.44, 948,866.40 and 206,102.40

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Solution

The fourth proportional to 632,533.44, 948,866.40 and 206,102.40 is: 309,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,533.44 : 948,866.40 = 206,102.40 : x
  2. Step 2: Convert to fraction form
    632,533.44/948,866.40 = 206,102.40/x
  3. Step 3: Cross multiply
    632,533.44x = 948,866.40 × 206,102.40
  4. Step 4: Simplify right side
    632,533.44x = 195,563,642,319.36
  5. Step 5: Solve for x
    x = 195,563,642,319.36/632,533.44
  6. Step 6: Final answer
    x = 309,175.18

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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.