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Finding the Fourth Proportional to 470,968.43, 706,353.75 and 155,351.39

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Solution

The fourth proportional to 470,968.43, 706,353.75 and 155,351.39 is: 232,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,968.43 : 706,353.75 = 155,351.39 : x
  2. Step 2: Convert to fraction form
    470,968.43/706,353.75 = 155,351.39/x
  3. Step 3: Cross multiply
    470,968.43x = 706,353.75 × 155,351.39
  4. Step 4: Simplify right side
    470,968.43x = 109,733,033,362.44
  5. Step 5: Solve for x
    x = 109,733,033,362.44/470,968.43
  6. Step 6: Final answer
    x = 232,994.46

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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.