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Finding the Fourth Proportional to 301,833, 416,531.16 and 167,697

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Solution

The fourth proportional to 301,833, 416,531.16 and 167,697 is: 231,422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,833 : 416,531.16 = 167,697 : x
  2. Step 2: Convert to fraction form
    301,833/416,531.16 = 167,697/x
  3. Step 3: Cross multiply
    301,833x = 416,531.16 × 167,697
  4. Step 4: Simplify right side
    301,833x = 69,851,025,938.52
  5. Step 5: Solve for x
    x = 69,851,025,938.52/301,833
  6. Step 6: Final answer
    x = 231,422.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.