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Finding the Fourth Proportional to 400,641.42, 600,993.25 and 116,336.66

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Solution

The fourth proportional to 400,641.42, 600,993.25 and 116,336.66 is: 174,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,641.42 : 600,993.25 = 116,336.66 : x
  2. Step 2: Convert to fraction form
    400,641.42/600,993.25 = 116,336.66/x
  3. Step 3: Cross multiply
    400,641.42x = 600,993.25 × 116,336.66
  4. Step 4: Simplify right side
    400,641.42x = 69,917,547,096.70
  5. Step 5: Solve for x
    x = 69,917,547,096.70/400,641.42
  6. Step 6: Final answer
    x = 174,514.03

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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.