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Finding the Fourth Proportional to 317,232.66, 475,698.33 and 184,153.74

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Solution

The fourth proportional to 317,232.66, 475,698.33 and 184,153.74 is: 276,143.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,232.66 : 475,698.33 = 184,153.74 : x
  2. Step 2: Convert to fraction form
    317,232.66/475,698.33 = 184,153.74/x
  3. Step 3: Cross multiply
    317,232.66x = 475,698.33 × 184,153.74
  4. Step 4: Simplify right side
    317,232.66x = 87,601,626,581.25
  5. Step 5: Solve for x
    x = 87,601,626,581.25/317,232.66
  6. Step 6: Final answer
    x = 276,143.15

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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.