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Finding the Fourth Proportional to 301,900.77, 416,614.25 and 172,834.96

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Solution

The fourth proportional to 301,900.77, 416,614.25 and 172,834.96 is: 238,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,900.77 : 416,614.25 = 172,834.96 : x
  2. Step 2: Convert to fraction form
    301,900.77/416,614.25 = 172,834.96/x
  3. Step 3: Cross multiply
    301,900.77x = 416,614.25 × 172,834.96
  4. Step 4: Simplify right side
    301,900.77x = 72,005,509,406.52
  5. Step 5: Solve for x
    x = 72,005,509,406.52/301,900.77
  6. Step 6: Final answer
    x = 238,507.21

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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.