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Finding the Fourth Proportional to 301,706.94, 416,309.34 and 174,357.96

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Solution

The fourth proportional to 301,706.94, 416,309.34 and 174,357.96 is: 240,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,706.94 : 416,309.34 = 174,357.96 : x
  2. Step 2: Convert to fraction form
    301,706.94/416,309.34 = 174,357.96/x
  3. Step 3: Cross multiply
    301,706.94x = 416,309.34 × 174,357.96
  4. Step 4: Simplify right side
    301,706.94x = 72,586,847,251.35
  5. Step 5: Solve for x
    x = 72,586,847,251.35/301,706.94
  6. Step 6: Final answer
    x = 240,587.26

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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.