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Finding the Fourth Proportional to 338,276.84, 507,472.90 and 116,609

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Solution

The fourth proportional to 338,276.84, 507,472.90 and 116,609 is: 174,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,276.84 : 507,472.90 = 116,609 : x
  2. Step 2: Convert to fraction form
    338,276.84/507,472.90 = 116,609/x
  3. Step 3: Cross multiply
    338,276.84x = 507,472.90 × 116,609
  4. Step 4: Simplify right side
    338,276.84x = 59,175,907,396.10
  5. Step 5: Solve for x
    x = 59,175,907,396.10/338,276.84
  6. Step 6: Final answer
    x = 174,933.37

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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.