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Finding the Fourth Proportional to 440,097.96, 607,344.84 and 268,024

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Solution

The fourth proportional to 440,097.96, 607,344.84 and 268,024 is: 369,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,097.96 : 607,344.84 = 268,024 : x
  2. Step 2: Convert to fraction form
    440,097.96/607,344.84 = 268,024/x
  3. Step 3: Cross multiply
    440,097.96x = 607,344.84 × 268,024
  4. Step 4: Simplify right side
    440,097.96x = 162,782,993,396.16
  5. Step 5: Solve for x
    x = 162,782,993,396.16/440,097.96
  6. Step 6: Final answer
    x = 369,879.00

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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.