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Finding the Fourth Proportional to 434,832.84, 599,864.94 and 307,578.60

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Solution

The fourth proportional to 434,832.84, 599,864.94 and 307,578.60 is: 424,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,832.84 : 599,864.94 = 307,578.60 : x
  2. Step 2: Convert to fraction form
    434,832.84/599,864.94 = 307,578.60/x
  3. Step 3: Cross multiply
    434,832.84x = 599,864.94 × 307,578.60
  4. Step 4: Simplify right side
    434,832.84x = 184,505,618,434.28
  5. Step 5: Solve for x
    x = 184,505,618,434.28/434,832.84
  6. Step 6: Final answer
    x = 424,313.90

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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.