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Finding the Fourth Proportional to 1,007,932, 1,511,898 and 416,956

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Solution

The fourth proportional to 1,007,932, 1,511,898 and 416,956 is: 625,434

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007,932 : 1,511,898 = 416,956 : x
  2. Step 2: Convert to fraction form
    1,007,932/1,511,898 = 416,956/x
  3. Step 3: Cross multiply
    1,007,932x = 1,511,898 × 416,956
  4. Step 4: Simplify right side
    1,007,932x = 630,394,942,488
  5. Step 5: Solve for x
    x = 630,394,942,488/1,007,932
  6. Step 6: Final answer
    x = 625,434

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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.