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Finding the Fourth Proportional to 601,225.53, 829,704.65 and 343,097.33

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Solution

The fourth proportional to 601,225.53, 829,704.65 and 343,097.33 is: 473,481.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,225.53 : 829,704.65 = 343,097.33 : x
  2. Step 2: Convert to fraction form
    601,225.53/829,704.65 = 343,097.33/x
  3. Step 3: Cross multiply
    601,225.53x = 829,704.65 × 343,097.33
  4. Step 4: Simplify right side
    601,225.53x = 284,669,454,220.61
  5. Step 5: Solve for x
    x = 284,669,454,220.61/601,225.53
  6. Step 6: Final answer
    x = 473,481.98

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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.