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Finding the Fourth Proportional to 983,632.18, 1,475,647.16 and 415,014.68

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Solution

The fourth proportional to 983,632.18, 1,475,647.16 and 415,014.68 is: 622,605.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,632.18 : 1,475,647.16 = 415,014.68 : x
  2. Step 2: Convert to fraction form
    983,632.18/1,475,647.16 = 415,014.68/x
  3. Step 3: Cross multiply
    983,632.18x = 1,475,647.16 × 415,014.68
  4. Step 4: Simplify right side
    983,632.18x = 612,415,233,900.31
  5. Step 5: Solve for x
    x = 612,415,233,900.31/983,632.18
  6. Step 6: Final answer
    x = 622,605.94

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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.