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Finding the Fourth Proportional to 430,144, 593,598.72 and 241,728

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Solution

The fourth proportional to 430,144, 593,598.72 and 241,728 is: 333,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,144 : 593,598.72 = 241,728 : x
  2. Step 2: Convert to fraction form
    430,144/593,598.72 = 241,728/x
  3. Step 3: Cross multiply
    430,144x = 593,598.72 × 241,728
  4. Step 4: Simplify right side
    430,144x = 143,489,431,388.16
  5. Step 5: Solve for x
    x = 143,489,431,388.16/430,144
  6. Step 6: Final answer
    x = 333,584.64

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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.