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Finding the Fourth Proportional to 417,486.76, 626,325.66 and 180,868.84

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Solution

The fourth proportional to 417,486.76, 626,325.66 and 180,868.84 is: 271,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,486.76 : 626,325.66 = 180,868.84 : x
  2. Step 2: Convert to fraction form
    417,486.76/626,325.66 = 180,868.84/x
  3. Step 3: Cross multiply
    417,486.76x = 626,325.66 × 180,868.84
  4. Step 4: Simplify right side
    417,486.76x = 113,282,795,586.43
  5. Step 5: Solve for x
    x = 113,282,795,586.43/417,486.76
  6. Step 6: Final answer
    x = 271,344.64

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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.