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Finding the Fourth Proportional to 305,745.12, 458,798.12 and 116,364.93

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Solution

The fourth proportional to 305,745.12, 458,798.12 and 116,364.93 is: 174,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,745.12 : 458,798.12 = 116,364.93 : x
  2. Step 2: Convert to fraction form
    305,745.12/458,798.12 = 116,364.93/x
  3. Step 3: Cross multiply
    305,745.12x = 458,798.12 × 116,364.93
  4. Step 4: Simplify right side
    305,745.12x = 53,388,010,536.11
  5. Step 5: Solve for x
    x = 53,388,010,536.11/305,745.12
  6. Step 6: Final answer
    x = 174,616.07

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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.