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Finding the Fourth Proportional to 400,435.95, 600,530.15 and 116,147.44

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Solution

The fourth proportional to 400,435.95, 600,530.15 and 116,147.44 is: 174,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,435.95 : 600,530.15 = 116,147.44 : x
  2. Step 2: Convert to fraction form
    400,435.95/600,530.15 = 116,147.44/x
  3. Step 3: Cross multiply
    400,435.95x = 600,530.15 × 116,147.44
  4. Step 4: Simplify right side
    400,435.95x = 69,750,039,565.32
  5. Step 5: Solve for x
    x = 69,750,039,565.32/400,435.95
  6. Step 6: Final answer
    x = 174,185.26

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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.