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Finding the Fourth Proportional to 314,690.56, 471,933.76 and 104,272

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Solution

The fourth proportional to 314,690.56, 471,933.76 and 104,272 is: 156,374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,690.56 : 471,933.76 = 104,272 : x
  2. Step 2: Convert to fraction form
    314,690.56/471,933.76 = 104,272/x
  3. Step 3: Cross multiply
    314,690.56x = 471,933.76 × 104,272
  4. Step 4: Simplify right side
    314,690.56x = 49,209,477,022.72
  5. Step 5: Solve for x
    x = 49,209,477,022.72/314,690.56
  6. Step 6: Final answer
    x = 156,374.18

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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.