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Finding the Fourth Proportional to 468,474.84, 702,709.74 and 113,488.68

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Solution

The fourth proportional to 468,474.84, 702,709.74 and 113,488.68 is: 170,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,474.84 : 702,709.74 = 113,488.68 : x
  2. Step 2: Convert to fraction form
    468,474.84/702,709.74 = 113,488.68/x
  3. Step 3: Cross multiply
    468,474.84x = 702,709.74 × 113,488.68
  4. Step 4: Simplify right side
    468,474.84x = 79,749,600,815.74
  5. Step 5: Solve for x
    x = 79,749,600,815.74/468,474.84
  6. Step 6: Final answer
    x = 170,232.41

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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.