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Finding the Fourth Proportional to 601,226.25, 829,675.85 and 343,098.51

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Solution

The fourth proportional to 601,226.25, 829,675.85 and 343,098.51 is: 473,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,226.25 : 829,675.85 = 343,098.51 : x
  2. Step 2: Convert to fraction form
    601,226.25/829,675.85 = 343,098.51/x
  3. Step 3: Cross multiply
    601,226.25x = 829,675.85 × 343,098.51
  4. Step 4: Simplify right side
    601,226.25x = 284,660,546,202.49
  5. Step 5: Solve for x
    x = 284,660,546,202.49/601,226.25
  6. Step 6: Final answer
    x = 473,466.60

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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.