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Finding the Fourth Proportional to 314,464.80, 471,675.60 and 101,229.60

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Solution

The fourth proportional to 314,464.80, 471,675.60 and 101,229.60 is: 151,837.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,464.80 : 471,675.60 = 101,229.60 : x
  2. Step 2: Convert to fraction form
    314,464.80/471,675.60 = 101,229.60/x
  3. Step 3: Cross multiply
    314,464.80x = 471,675.60 × 101,229.60
  4. Step 4: Simplify right side
    314,464.80x = 47,747,532,317.76
  5. Step 5: Solve for x
    x = 47,747,532,317.76/314,464.80
  6. Step 6: Final answer
    x = 151,837.45

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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.