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Finding the Fourth Proportional to 601,322.31, 829,838.20 and 343,194.08

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Solution

The fourth proportional to 601,322.31, 829,838.20 and 343,194.08 is: 473,615.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,322.31 : 829,838.20 = 343,194.08 : x
  2. Step 2: Convert to fraction form
    601,322.31/829,838.20 = 343,194.08/x
  3. Step 3: Cross multiply
    601,322.31x = 829,838.20 × 343,194.08
  4. Step 4: Simplify right side
    601,322.31x = 284,795,557,597.86
  5. Step 5: Solve for x
    x = 284,795,557,597.86/601,322.31
  6. Step 6: Final answer
    x = 473,615.49

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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.