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Finding the Fourth Proportional to 313,970.96, 470,972.76 and 103,625.36

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Solution

The fourth proportional to 313,970.96, 470,972.76 and 103,625.36 is: 155,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,970.96 : 470,972.76 = 103,625.36 : x
  2. Step 2: Convert to fraction form
    313,970.96/470,972.76 = 103,625.36/x
  3. Step 3: Cross multiply
    313,970.96x = 470,972.76 × 103,625.36
  4. Step 4: Simplify right side
    313,970.96x = 48,804,721,805.19
  5. Step 5: Solve for x
    x = 48,804,721,805.19/313,970.96
  6. Step 6: Final answer
    x = 155,443.43

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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.