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Finding the Fourth Proportional to 431,599.12, 644,202.74 and 405,005.20

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Solution

The fourth proportional to 431,599.12, 644,202.74 and 405,005.20 is: 604,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,599.12 : 644,202.74 = 405,005.20 : x
  2. Step 2: Convert to fraction form
    431,599.12/644,202.74 = 405,005.20/x
  3. Step 3: Cross multiply
    431,599.12x = 644,202.74 × 405,005.20
  4. Step 4: Simplify right side
    431,599.12x = 260,905,459,554.25
  5. Step 5: Solve for x
    x = 260,905,459,554.25/431,599.12
  6. Step 6: Final answer
    x = 604,508.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.