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Finding the Fourth Proportional to 301,539, 416,185.32 and 174,197.28

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Solution

The fourth proportional to 301,539, 416,185.32 and 174,197.28 is: 240,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,539 : 416,185.32 = 174,197.28 : x
  2. Step 2: Convert to fraction form
    301,539/416,185.32 = 174,197.28/x
  3. Step 3: Cross multiply
    301,539x = 416,185.32 × 174,197.28
  4. Step 4: Simplify right side
    301,539x = 72,498,350,719.93
  5. Step 5: Solve for x
    x = 72,498,350,719.93/301,539
  6. Step 6: Final answer
    x = 240,427.77

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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.