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Finding the Fourth Proportional to 614,968.62, 848,571.84 and 343,004.64

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Solution

The fourth proportional to 614,968.62, 848,571.84 and 343,004.64 is: 473,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,968.62 : 848,571.84 = 343,004.64 : x
  2. Step 2: Convert to fraction form
    614,968.62/848,571.84 = 343,004.64/x
  3. Step 3: Cross multiply
    614,968.62x = 848,571.84 × 343,004.64
  4. Step 4: Simplify right side
    614,968.62x = 291,064,078,493.34
  5. Step 5: Solve for x
    x = 291,064,078,493.34/614,968.62
  6. Step 6: Final answer
    x = 473,299.07

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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.