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Finding the Fourth Proportional to 601,162.56, 829,596.53 and 343,032.77

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Solution

The fourth proportional to 601,162.56, 829,596.53 and 343,032.77 is: 473,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,162.56 : 829,596.53 = 343,032.77 : x
  2. Step 2: Convert to fraction form
    601,162.56/829,596.53 = 343,032.77/x
  3. Step 3: Cross multiply
    601,162.56x = 829,596.53 × 343,032.77
  4. Step 4: Simplify right side
    601,162.56x = 284,578,798,599.86
  5. Step 5: Solve for x
    x = 284,578,798,599.86/601,162.56
  6. Step 6: Final answer
    x = 473,380.78

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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.