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Finding the Fourth Proportional to 508,218, 762,342.81 and 188,449.44

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Solution

The fourth proportional to 508,218, 762,342.81 and 188,449.44 is: 282,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,218 : 762,342.81 = 188,449.44 : x
  2. Step 2: Convert to fraction form
    508,218/762,342.81 = 188,449.44/x
  3. Step 3: Cross multiply
    508,218x = 762,342.81 × 188,449.44
  4. Step 4: Simplify right side
    508,218x = 143,663,075,632.53
  5. Step 5: Solve for x
    x = 143,663,075,632.53/508,218
  6. Step 6: Final answer
    x = 282,680.02

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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.