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Finding the Fourth Proportional to 377,145.80, 565,718.70 and 325,824.20

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Solution

The fourth proportional to 377,145.80, 565,718.70 and 325,824.20 is: 488,736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,145.80 : 565,718.70 = 325,824.20 : x
  2. Step 2: Convert to fraction form
    377,145.80/565,718.70 = 325,824.20/x
  3. Step 3: Cross multiply
    377,145.80x = 565,718.70 × 325,824.20
  4. Step 4: Simplify right side
    377,145.80x = 184,324,842,852.54
  5. Step 5: Solve for x
    x = 184,324,842,852.54/377,145.80
  6. Step 6: Final answer
    x = 488,736.30

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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.