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Finding the Fourth Proportional to 470,935.84, 650,033.76 and 320,120.32

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Solution

The fourth proportional to 470,935.84, 650,033.76 and 320,120.32 is: 441,862.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,935.84 : 650,033.76 = 320,120.32 : x
  2. Step 2: Convert to fraction form
    470,935.84/650,033.76 = 320,120.32/x
  3. Step 3: Cross multiply
    470,935.84x = 650,033.76 × 320,120.32
  4. Step 4: Simplify right side
    470,935.84x = 208,089,015,262.00
  5. Step 5: Solve for x
    x = 208,089,015,262.00/470,935.84
  6. Step 6: Final answer
    x = 441,862.77

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Why These Related Problems?

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