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Finding the Fourth Proportional to 305,798.28, 458,515.73 and 116,272.51

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Solution

The fourth proportional to 305,798.28, 458,515.73 and 116,272.51 is: 174,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,798.28 : 458,515.73 = 116,272.51 : x
  2. Step 2: Convert to fraction form
    305,798.28/458,515.73 = 116,272.51/x
  3. Step 3: Cross multiply
    305,798.28x = 458,515.73 × 116,272.51
  4. Step 4: Simplify right side
    305,798.28x = 53,312,774,801.58
  5. Step 5: Solve for x
    x = 53,312,774,801.58/305,798.28
  6. Step 6: Final answer
    x = 174,339.68

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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.