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Finding the Fourth Proportional to 459,355.72, 633,768.42 and 268,231.24

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Solution

The fourth proportional to 459,355.72, 633,768.42 and 268,231.24 is: 370,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,355.72 : 633,768.42 = 268,231.24 : x
  2. Step 2: Convert to fraction form
    459,355.72/633,768.42 = 268,231.24/x
  3. Step 3: Cross multiply
    459,355.72x = 633,768.42 × 268,231.24
  4. Step 4: Simplify right side
    459,355.72x = 169,996,489,169.44
  5. Step 5: Solve for x
    x = 169,996,489,169.44/459,355.72
  6. Step 6: Final answer
    x = 370,075.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.