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Finding the Fourth Proportional to 301,592.31, 416,230.55 and 172,542.75

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Solution

The fourth proportional to 301,592.31, 416,230.55 and 172,542.75 is: 238,127.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,592.31 : 416,230.55 = 172,542.75 : x
  2. Step 2: Convert to fraction form
    301,592.31/416,230.55 = 172,542.75/x
  3. Step 3: Cross multiply
    301,592.31x = 416,230.55 × 172,542.75
  4. Step 4: Simplify right side
    301,592.31x = 71,817,563,731.01
  5. Step 5: Solve for x
    x = 71,817,563,731.01/301,592.31
  6. Step 6: Final answer
    x = 238,127.97

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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.