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Finding the Fourth Proportional to 471,065.72, 706,875.48 and 171,564.36

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Solution

The fourth proportional to 471,065.72, 706,875.48 and 171,564.36 is: 257,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,065.72 : 706,875.48 = 171,564.36 : x
  2. Step 2: Convert to fraction form
    471,065.72/706,875.48 = 171,564.36/x
  3. Step 3: Cross multiply
    471,065.72x = 706,875.48 × 171,564.36
  4. Step 4: Simplify right side
    471,065.72x = 121,274,639,325.89
  5. Step 5: Solve for x
    x = 121,274,639,325.89/471,065.72
  6. Step 6: Final answer
    x = 257,447.39

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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.