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Finding the Fourth Proportional to 683,313.42, 942,967.74 and 377,409.84

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Solution

The fourth proportional to 683,313.42, 942,967.74 and 377,409.84 is: 520,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,313.42 : 942,967.74 = 377,409.84 : x
  2. Step 2: Convert to fraction form
    683,313.42/942,967.74 = 377,409.84/x
  3. Step 3: Cross multiply
    683,313.42x = 942,967.74 × 377,409.84
  4. Step 4: Simplify right side
    683,313.42x = 355,885,303,878.56
  5. Step 5: Solve for x
    x = 355,885,303,878.56/683,313.42
  6. Step 6: Final answer
    x = 520,822.94

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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.