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Finding the Fourth Proportional to 301,497.60, 416,140.80 and 174,249.60

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Solution

The fourth proportional to 301,497.60, 416,140.80 and 174,249.60 is: 240,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,497.60 : 416,140.80 = 174,249.60 : x
  2. Step 2: Convert to fraction form
    301,497.60/416,140.80 = 174,249.60/x
  3. Step 3: Cross multiply
    301,497.60x = 416,140.80 × 174,249.60
  4. Step 4: Simplify right side
    301,497.60x = 72,512,367,943.68
  5. Step 5: Solve for x
    x = 72,512,367,943.68/301,497.60
  6. Step 6: Final answer
    x = 240,507.28

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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.