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Finding the Fourth Proportional to 305,700.44, 458,509.09 and 116,208.51

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Solution

The fourth proportional to 305,700.44, 458,509.09 and 116,208.51 is: 174,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,700.44 : 458,509.09 = 116,208.51 : x
  2. Step 2: Convert to fraction form
    305,700.44/458,509.09 = 116,208.51/x
  3. Step 3: Cross multiply
    305,700.44x = 458,509.09 × 116,208.51
  4. Step 4: Simplify right side
    305,700.44x = 53,282,658,170.36
  5. Step 5: Solve for x
    x = 53,282,658,170.36/305,700.44
  6. Step 6: Final answer
    x = 174,296.96

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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.