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Finding the Fourth Proportional to 305,909.60, 458,875.91 and 116,334.62

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Solution

The fourth proportional to 305,909.60, 458,875.91 and 116,334.62 is: 174,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,909.60 : 458,875.91 = 116,334.62 : x
  2. Step 2: Convert to fraction form
    305,909.60/458,875.91 = 116,334.62/x
  3. Step 3: Cross multiply
    305,909.60x = 458,875.91 × 116,334.62
  4. Step 4: Simplify right side
    305,909.60x = 53,383,151,740.95
  5. Step 5: Solve for x
    x = 53,383,151,740.95/305,909.60
  6. Step 6: Final answer
    x = 174,506.30

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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.