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Finding the Fourth Proportional to 301,943.94, 416,682.64 and 174,627.74

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Solution

The fourth proportional to 301,943.94, 416,682.64 and 174,627.74 is: 240,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,943.94 : 416,682.64 = 174,627.74 : x
  2. Step 2: Convert to fraction form
    301,943.94/416,682.64 = 174,627.74/x
  3. Step 3: Cross multiply
    301,943.94x = 416,682.64 × 174,627.74
  4. Step 4: Simplify right side
    301,943.94x = 72,764,345,637.02
  5. Step 5: Solve for x
    x = 72,764,345,637.02/301,943.94
  6. Step 6: Final answer
    x = 240,986.28

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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.