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Finding the Fourth Proportional to 456,751.40, 685,904.70 and 338,556.20

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Solution

The fourth proportional to 456,751.40, 685,904.70 and 338,556.20 is: 508,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,751.40 : 685,904.70 = 338,556.20 : x
  2. Step 2: Convert to fraction form
    456,751.40/685,904.70 = 338,556.20/x
  3. Step 3: Cross multiply
    456,751.40x = 685,904.70 × 338,556.20
  4. Step 4: Simplify right side
    456,751.40x = 232,217,288,794.14
  5. Step 5: Solve for x
    x = 232,217,288,794.14/456,751.40
  6. Step 6: Final answer
    x = 508,410.68

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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.