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Finding the Fourth Proportional to 305,693.61, 458,619.69 and 116,157.25

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Solution

The fourth proportional to 305,693.61, 458,619.69 and 116,157.25 is: 174,266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,693.61 : 458,619.69 = 116,157.25 : x
  2. Step 2: Convert to fraction form
    305,693.61/458,619.69 = 116,157.25/x
  3. Step 3: Cross multiply
    305,693.61x = 458,619.69 × 116,157.25
  4. Step 4: Simplify right side
    305,693.61x = 53,272,002,995.12
  5. Step 5: Solve for x
    x = 53,272,002,995.12/305,693.61
  6. Step 6: Final answer
    x = 174,266.00

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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.