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Finding the Fourth Proportional to 567,971.94, 783,788.67 and 313,323.06

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Solution

The fourth proportional to 567,971.94, 783,788.67 and 313,323.06 is: 432,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,971.94 : 783,788.67 = 313,323.06 : x
  2. Step 2: Convert to fraction form
    567,971.94/783,788.67 = 313,323.06/x
  3. Step 3: Cross multiply
    567,971.94x = 783,788.67 × 313,323.06
  4. Step 4: Simplify right side
    567,971.94x = 245,579,064,477.73
  5. Step 5: Solve for x
    x = 245,579,064,477.73/567,971.94
  6. Step 6: Final answer
    x = 432,378.87

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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.