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Finding the Fourth Proportional to 314,575.06, 471,889.32 and 277,571.02

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Solution

The fourth proportional to 314,575.06, 471,889.32 and 277,571.02 is: 416,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,575.06 : 471,889.32 = 277,571.02 : x
  2. Step 2: Convert to fraction form
    314,575.06/471,889.32 = 277,571.02/x
  3. Step 3: Cross multiply
    314,575.06x = 471,889.32 × 277,571.02
  4. Step 4: Simplify right side
    314,575.06x = 130,982,799,879.51
  5. Step 5: Solve for x
    x = 130,982,799,879.51/314,575.06
  6. Step 6: Final answer
    x = 416,380.12

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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.