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Finding the Fourth Proportional to 314,447.56, 471,745.16 and 104,085.50

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Solution

The fourth proportional to 314,447.56, 471,745.16 and 104,085.50 is: 156,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,447.56 : 471,745.16 = 104,085.50 : x
  2. Step 2: Convert to fraction form
    314,447.56/471,745.16 = 104,085.50/x
  3. Step 3: Cross multiply
    314,447.56x = 471,745.16 × 104,085.50
  4. Step 4: Simplify right side
    314,447.56x = 49,101,830,330.75
  5. Step 5: Solve for x
    x = 49,101,830,330.75/314,447.56
  6. Step 6: Final answer
    x = 156,152.68

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