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Finding the Fourth Proportional to 314,259.54, 471,393.63 and 89,620.00

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Solution

The fourth proportional to 314,259.54, 471,393.63 and 89,620.00 is: 134,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,259.54 : 471,393.63 = 89,620.00 : x
  2. Step 2: Convert to fraction form
    314,259.54/471,393.63 = 89,620.00/x
  3. Step 3: Cross multiply
    314,259.54x = 471,393.63 × 89,620.00
  4. Step 4: Simplify right side
    314,259.54x = 42,246,296,370.06
  5. Step 5: Solve for x
    x = 42,246,296,370.06/314,259.54
  6. Step 6: Final answer
    x = 134,431.23

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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.