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Finding the Fourth Proportional to 456,298.74, 683,965.45 and 171,866.23

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Solution

The fourth proportional to 456,298.74, 683,965.45 and 171,866.23 is: 257,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,298.74 : 683,965.45 = 171,866.23 : x
  2. Step 2: Convert to fraction form
    456,298.74/683,965.45 = 171,866.23/x
  3. Step 3: Cross multiply
    456,298.74x = 683,965.45 × 171,866.23
  4. Step 4: Simplify right side
    456,298.74x = 117,550,560,883.21
  5. Step 5: Solve for x
    x = 117,550,560,883.21/456,298.74
  6. Step 6: Final answer
    x = 257,617.54

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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.