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Finding the Fourth Proportional to 632,505.64, 948,699.66 and 177,138.04

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Solution

The fourth proportional to 632,505.64, 948,699.66 and 177,138.04 is: 265,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,505.64 : 948,699.66 = 177,138.04 : x
  2. Step 2: Convert to fraction form
    632,505.64/948,699.66 = 177,138.04/x
  3. Step 3: Cross multiply
    632,505.64x = 948,699.66 × 177,138.04
  4. Step 4: Simplify right side
    632,505.64x = 168,050,798,321.07
  5. Step 5: Solve for x
    x = 168,050,798,321.07/632,505.64
  6. Step 6: Final answer
    x = 265,690.59

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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.