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Finding the Fourth Proportional to 305,957.48, 458,866.92 and 116,350.28

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Solution

The fourth proportional to 305,957.48, 458,866.92 and 116,350.28 is: 174,499.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,957.48 : 458,866.92 = 116,350.28 : x
  2. Step 2: Convert to fraction form
    305,957.48/458,866.92 = 116,350.28/x
  3. Step 3: Cross multiply
    305,957.48x = 458,866.92 × 116,350.28
  4. Step 4: Simplify right side
    305,957.48x = 53,389,294,624.74
  5. Step 5: Solve for x
    x = 53,389,294,624.74/305,957.48
  6. Step 6: Final answer
    x = 174,499.07

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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.