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Finding the Fourth Proportional to 317,257.60, 475,930.16 and 184,200.52

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Solution

The fourth proportional to 317,257.60, 475,930.16 and 184,200.52 is: 276,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,257.60 : 475,930.16 = 184,200.52 : x
  2. Step 2: Convert to fraction form
    317,257.60/475,930.16 = 184,200.52/x
  3. Step 3: Cross multiply
    317,257.60x = 475,930.16 × 184,200.52
  4. Step 4: Simplify right side
    317,257.60x = 87,666,582,955.68
  5. Step 5: Solve for x
    x = 87,666,582,955.68/317,257.60
  6. Step 6: Final answer
    x = 276,326.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.