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Finding the Fourth Proportional to 405,950.25, 608,927.90 and 106,428.14

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Solution

The fourth proportional to 405,950.25, 608,927.90 and 106,428.14 is: 159,642.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,950.25 : 608,927.90 = 106,428.14 : x
  2. Step 2: Convert to fraction form
    405,950.25/608,927.90 = 106,428.14/x
  3. Step 3: Cross multiply
    405,950.25x = 608,927.90 × 106,428.14
  4. Step 4: Simplify right side
    405,950.25x = 64,807,060,214.33
  5. Step 5: Solve for x
    x = 64,807,060,214.33/405,950.25
  6. Step 6: Final answer
    x = 159,642.86

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Why These Related Problems?

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