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Finding the Fourth Proportional to 437,825.68, 603,825.72 and 302,076.16

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Solution

The fourth proportional to 437,825.68, 603,825.72 and 302,076.16 is: 416,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,825.68 : 603,825.72 = 302,076.16 : x
  2. Step 2: Convert to fraction form
    437,825.68/603,825.72 = 302,076.16/x
  3. Step 3: Cross multiply
    437,825.68x = 603,825.72 × 302,076.16
  4. Step 4: Simplify right side
    437,825.68x = 182,401,354,806.84
  5. Step 5: Solve for x
    x = 182,401,354,806.84/437,825.68
  6. Step 6: Final answer
    x = 416,607.26

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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.