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Finding the Fourth Proportional to 471,258.98, 706,911.83 and 134,349.27

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Solution

The fourth proportional to 471,258.98, 706,911.83 and 134,349.27 is: 201,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,258.98 : 706,911.83 = 134,349.27 : x
  2. Step 2: Convert to fraction form
    471,258.98/706,911.83 = 134,349.27/x
  3. Step 3: Cross multiply
    471,258.98x = 706,911.83 × 134,349.27
  4. Step 4: Simplify right side
    471,258.98x = 94,973,087,643.12
  5. Step 5: Solve for x
    x = 94,973,087,643.12/471,258.98
  6. Step 6: Final answer
    x = 201,530.56

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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.