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Finding the Fourth Proportional to 507,745.64, 761,639.34 and 418,833.56

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Solution

The fourth proportional to 507,745.64, 761,639.34 and 418,833.56 is: 628,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,745.64 : 761,639.34 = 418,833.56 : x
  2. Step 2: Convert to fraction form
    507,745.64/761,639.34 = 418,833.56/x
  3. Step 3: Cross multiply
    507,745.64x = 761,639.34 × 418,833.56
  4. Step 4: Simplify right side
    507,745.64x = 319,000,116,208.25
  5. Step 5: Solve for x
    x = 319,000,116,208.25/507,745.64
  6. Step 6: Final answer
    x = 628,267.56

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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.