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Finding the Fourth Proportional to 301,713.52, 416,439.48 and 174,370.72

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Solution

The fourth proportional to 301,713.52, 416,439.48 and 174,370.72 is: 240,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,713.52 : 416,439.48 = 174,370.72 : x
  2. Step 2: Convert to fraction form
    301,713.52/416,439.48 = 174,370.72/x
  3. Step 3: Cross multiply
    301,713.52x = 416,439.48 × 174,370.72
  4. Step 4: Simplify right side
    301,713.52x = 72,614,851,964.03
  5. Step 5: Solve for x
    x = 72,614,851,964.03/301,713.52
  6. Step 6: Final answer
    x = 240,674.84

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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.