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Finding the Fourth Proportional to 301,527.10, 416,077.92 and 174,199.96

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Solution

The fourth proportional to 301,527.10, 416,077.92 and 174,199.96 is: 240,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,527.10 : 416,077.92 = 174,199.96 : x
  2. Step 2: Convert to fraction form
    301,527.10/416,077.92 = 174,199.96/x
  3. Step 3: Cross multiply
    301,527.10x = 416,077.92 × 174,199.96
  4. Step 4: Simplify right side
    301,527.10x = 72,480,757,020.88
  5. Step 5: Solve for x
    x = 72,480,757,020.88/301,527.10
  6. Step 6: Final answer
    x = 240,378.91

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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.