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Finding the Fourth Proportional to 1,581,584.40, 2,182,623.12 and 902,584.08

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Solution

The fourth proportional to 1,581,584.40, 2,182,623.12 and 902,584.08 is: 1,245,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581,584.40 : 2,182,623.12 = 902,584.08 : x
  2. Step 2: Convert to fraction form
    1,581,584.40/2,182,623.12 = 902,584.08/x
  3. Step 3: Cross multiply
    1,581,584.40x = 2,182,623.12 × 902,584.08
  4. Step 4: Simplify right side
    1,581,584.40x = 1,970,000,880,751.93
  5. Step 5: Solve for x
    x = 1,970,000,880,751.93/1,581,584.40
  6. Step 6: Final answer
    x = 1,245,586.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.