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Finding the Fourth Proportional to 314,141.20, 471,211.80 and 251,933.20

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Solution

The fourth proportional to 314,141.20, 471,211.80 and 251,933.20 is: 377,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,141.20 : 471,211.80 = 251,933.20 : x
  2. Step 2: Convert to fraction form
    314,141.20/471,211.80 = 251,933.20/x
  3. Step 3: Cross multiply
    314,141.20x = 471,211.80 × 251,933.20
  4. Step 4: Simplify right side
    314,141.20x = 118,713,896,651.76
  5. Step 5: Solve for x
    x = 118,713,896,651.76/314,141.20
  6. Step 6: Final answer
    x = 377,899.80

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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.