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Finding the Fourth Proportional to 305,894.13, 458,698.50 and 116,389.77

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Solution

The fourth proportional to 305,894.13, 458,698.50 and 116,389.77 is: 174,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,894.13 : 458,698.50 = 116,389.77 : x
  2. Step 2: Convert to fraction form
    305,894.13/458,698.50 = 116,389.77/x
  3. Step 3: Cross multiply
    305,894.13x = 458,698.50 × 116,389.77
  4. Step 4: Simplify right side
    305,894.13x = 53,387,812,914.35
  5. Step 5: Solve for x
    x = 53,387,812,914.35/305,894.13
  6. Step 6: Final answer
    x = 174,530.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.