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Finding the Fourth Proportional to 456,840.41, 685,023.99 and 243,551.00

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Solution

The fourth proportional to 456,840.41, 685,023.99 and 243,551.00 is: 365,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,840.41 : 685,023.99 = 243,551.00 : x
  2. Step 2: Convert to fraction form
    456,840.41/685,023.99 = 243,551.00/x
  3. Step 3: Cross multiply
    456,840.41x = 685,023.99 × 243,551.00
  4. Step 4: Simplify right side
    456,840.41x = 166,838,278,587.73
  5. Step 5: Solve for x
    x = 166,838,278,587.73/456,840.41
  6. Step 6: Final answer
    x = 365,200.36

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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.