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Finding the Fourth Proportional to 601,298.36, 829,560.77 and 343,189.63

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Solution

The fourth proportional to 601,298.36, 829,560.77 and 343,189.63 is: 473,469.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,298.36 : 829,560.77 = 343,189.63 : x
  2. Step 2: Convert to fraction form
    601,298.36/829,560.77 = 343,189.63/x
  3. Step 3: Cross multiply
    601,298.36x = 829,560.77 × 343,189.63
  4. Step 4: Simplify right side
    601,298.36x = 284,696,652,002.87
  5. Step 5: Solve for x
    x = 284,696,652,002.87/601,298.36
  6. Step 6: Final answer
    x = 473,469.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.