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Finding the Fourth Proportional to 509,867.20, 764,314.80 and 189,933.40

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Solution

The fourth proportional to 509,867.20, 764,314.80 and 189,933.40 is: 284,719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,867.20 : 764,314.80 = 189,933.40 : x
  2. Step 2: Convert to fraction form
    509,867.20/764,314.80 = 189,933.40/x
  3. Step 3: Cross multiply
    509,867.20x = 764,314.80 × 189,933.40
  4. Step 4: Simplify right side
    509,867.20x = 145,168,908,634.32
  5. Step 5: Solve for x
    x = 145,168,908,634.32/509,867.20
  6. Step 6: Final answer
    x = 284,719.06

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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.