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Finding the Fourth Proportional to 468,643.56, 702,959.90 and 188,155.88

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Solution

The fourth proportional to 468,643.56, 702,959.90 and 188,155.88 is: 282,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.56 : 702,959.90 = 188,155.88 : x
  2. Step 2: Convert to fraction form
    468,643.56/702,959.90 = 188,155.88/x
  3. Step 3: Cross multiply
    468,643.56x = 702,959.90 × 188,155.88
  4. Step 4: Simplify right side
    468,643.56x = 132,266,038,589.21
  5. Step 5: Solve for x
    x = 132,266,038,589.21/468,643.56
  6. Step 6: Final answer
    x = 282,231.64

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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.