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Finding the Fourth Proportional to 314,657.59, 471,670.37 and 101,268.69

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Solution

The fourth proportional to 314,657.59, 471,670.37 and 101,268.69 is: 151,801.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,657.59 : 471,670.37 = 101,268.69 : x
  2. Step 2: Convert to fraction form
    314,657.59/471,670.37 = 101,268.69/x
  3. Step 3: Cross multiply
    314,657.59x = 471,670.37 × 101,268.69
  4. Step 4: Simplify right side
    314,657.59x = 47,765,439,975.37
  5. Step 5: Solve for x
    x = 47,765,439,975.37/314,657.59
  6. Step 6: Final answer
    x = 151,801.33

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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.