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Finding the Fourth Proportional to 471,258.23, 706,910.70 and 134,348.52

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Solution

The fourth proportional to 471,258.23, 706,910.70 and 134,348.52 is: 201,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,258.23 : 706,910.70 = 134,348.52 : x
  2. Step 2: Convert to fraction form
    471,258.23/706,910.70 = 134,348.52/x
  3. Step 3: Cross multiply
    471,258.23x = 706,910.70 × 134,348.52
  4. Step 4: Simplify right side
    471,258.23x = 94,972,406,999.02
  5. Step 5: Solve for x
    x = 94,972,406,999.02/471,258.23
  6. Step 6: Final answer
    x = 201,529.44

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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.