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Finding the Fourth Proportional to 314,059.88, 471,133.26 and 100,777.64

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Solution

The fourth proportional to 314,059.88, 471,133.26 and 100,777.64 is: 151,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,059.88 : 471,133.26 = 100,777.64 : x
  2. Step 2: Convert to fraction form
    314,059.88/471,133.26 = 100,777.64/x
  3. Step 3: Cross multiply
    314,059.88x = 471,133.26 × 100,777.64
  4. Step 4: Simplify right side
    314,059.88x = 47,479,699,687.83
  5. Step 5: Solve for x
    x = 47,479,699,687.83/314,059.88
  6. Step 6: Final answer
    x = 151,180.40

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1.5x scale

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.