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Finding the Fourth Proportional to 980,696, 1,471,044.08 and 315,848

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Solution

The fourth proportional to 980,696, 1,471,044.08 and 315,848 is: 473,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,696 : 1,471,044.08 = 315,848 : x
  2. Step 2: Convert to fraction form
    980,696/1,471,044.08 = 315,848/x
  3. Step 3: Cross multiply
    980,696x = 1,471,044.08 × 315,848
  4. Step 4: Simplify right side
    980,696x = 464,626,330,579.84
  5. Step 5: Solve for x
    x = 464,626,330,579.84/980,696
  6. Step 6: Final answer
    x = 473,772.03

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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.