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Finding the Fourth Proportional to 325,409.40, 488,114.10 and 185,441.40

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Solution

The fourth proportional to 325,409.40, 488,114.10 and 185,441.40 is: 278,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,409.40 : 488,114.10 = 185,441.40 : x
  2. Step 2: Convert to fraction form
    325,409.40/488,114.10 = 185,441.40/x
  3. Step 3: Cross multiply
    325,409.40x = 488,114.10 × 185,441.40
  4. Step 4: Simplify right side
    325,409.40x = 90,516,562,063.74
  5. Step 5: Solve for x
    x = 90,516,562,063.74/325,409.40
  6. Step 6: Final answer
    x = 278,162.10

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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.