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Finding the Fourth Proportional to 601,416.32, 829,932.76 and 343,306.60

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Solution

The fourth proportional to 601,416.32, 829,932.76 and 343,306.60 is: 473,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,416.32 : 829,932.76 = 343,306.60 : x
  2. Step 2: Convert to fraction form
    601,416.32/829,932.76 = 343,306.60/x
  3. Step 3: Cross multiply
    601,416.32x = 829,932.76 × 343,306.60
  4. Step 4: Simplify right side
    601,416.32x = 284,921,394,064.22
  5. Step 5: Solve for x
    x = 284,921,394,064.22/601,416.32
  6. Step 6: Final answer
    x = 473,750.69

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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.