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Finding the Fourth Proportional to 470,581.36, 706,003.80 and 190,295.44

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Solution

The fourth proportional to 470,581.36, 706,003.80 and 190,295.44 is: 285,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,581.36 : 706,003.80 = 190,295.44 : x
  2. Step 2: Convert to fraction form
    470,581.36/706,003.80 = 190,295.44/x
  3. Step 3: Cross multiply
    470,581.36x = 706,003.80 × 190,295.44
  4. Step 4: Simplify right side
    470,581.36x = 134,349,303,762.67
  5. Step 5: Solve for x
    x = 134,349,303,762.67/470,581.36
  6. Step 6: Final answer
    x = 285,496.44

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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.