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Finding the Fourth Proportional to 524,008.60, 786,012.90 and 419,032.60

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Solution

The fourth proportional to 524,008.60, 786,012.90 and 419,032.60 is: 628,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,008.60 : 786,012.90 = 419,032.60 : x
  2. Step 2: Convert to fraction form
    524,008.60/786,012.90 = 419,032.60/x
  3. Step 3: Cross multiply
    524,008.60x = 786,012.90 × 419,032.60
  4. Step 4: Simplify right side
    524,008.60x = 329,365,029,120.54
  5. Step 5: Solve for x
    x = 329,365,029,120.54/524,008.60
  6. Step 6: Final answer
    x = 628,548.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.