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Finding the Fourth Proportional to 601,322.19, 829,838.03 and 343,194

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Solution

The fourth proportional to 601,322.19, 829,838.03 and 343,194 is: 473,615.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,322.19 : 829,838.03 = 343,194 : x
  2. Step 2: Convert to fraction form
    601,322.19/829,838.03 = 343,194/x
  3. Step 3: Cross multiply
    601,322.19x = 829,838.03 × 343,194
  4. Step 4: Simplify right side
    601,322.19x = 284,795,432,867.82
  5. Step 5: Solve for x
    x = 284,795,432,867.82/601,322.19
  6. Step 6: Final answer
    x = 473,615.37

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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.