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Finding the Fourth Proportional to 539,896.50, 745,057.23 and 313,556.58

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Solution

The fourth proportional to 539,896.50, 745,057.23 and 313,556.58 is: 432,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,896.50 : 745,057.23 = 313,556.58 : x
  2. Step 2: Convert to fraction form
    539,896.50/745,057.23 = 313,556.58/x
  3. Step 3: Cross multiply
    539,896.50x = 745,057.23 × 313,556.58
  4. Step 4: Simplify right side
    539,896.50x = 233,617,596,943.07
  5. Step 5: Solve for x
    x = 233,617,596,943.07/539,896.50
  6. Step 6: Final answer
    x = 432,708.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.