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Finding the Fourth Proportional to 301,528.10, 416,079.30 and 174,200.96

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Solution

The fourth proportional to 301,528.10, 416,079.30 and 174,200.96 is: 240,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,528.10 : 416,079.30 = 174,200.96 : x
  2. Step 2: Convert to fraction form
    301,528.10/416,079.30 = 174,200.96/x
  3. Step 3: Cross multiply
    301,528.10x = 416,079.30 × 174,200.96
  4. Step 4: Simplify right side
    301,528.10x = 72,481,413,496.13
  5. Step 5: Solve for x
    x = 72,481,413,496.13/301,528.10
  6. Step 6: Final answer
    x = 240,380.29

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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.