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Finding the Fourth Proportional to 325,795.70, 488,742.15 and 115,417.10

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Solution

The fourth proportional to 325,795.70, 488,742.15 and 115,417.10 is: 173,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,795.70 : 488,742.15 = 115,417.10 : x
  2. Step 2: Convert to fraction form
    325,795.70/488,742.15 = 115,417.10/x
  3. Step 3: Cross multiply
    325,795.70x = 488,742.15 × 115,417.10
  4. Step 4: Simplify right side
    325,795.70x = 56,409,201,600.77
  5. Step 5: Solve for x
    x = 56,409,201,600.77/325,795.70
  6. Step 6: Final answer
    x = 173,142.87

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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.