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Finding the Fourth Proportional to 313,022.19, 468,483.53 and 256,860.03

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Solution

The fourth proportional to 313,022.19, 468,483.53 and 256,860.03 is: 384,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,022.19 : 468,483.53 = 256,860.03 : x
  2. Step 2: Convert to fraction form
    313,022.19/468,483.53 = 256,860.03/x
  3. Step 3: Cross multiply
    313,022.19x = 468,483.53 × 256,860.03
  4. Step 4: Simplify right side
    313,022.19x = 120,334,692,286.01
  5. Step 5: Solve for x
    x = 120,334,692,286.01/313,022.19
  6. Step 6: Final answer
    x = 384,428.63

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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.