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Finding the Fourth Proportional to 460,182.74, 635,051.73 and 258,983.06

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Solution

The fourth proportional to 460,182.74, 635,051.73 and 258,983.06 is: 357,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,182.74 : 635,051.73 = 258,983.06 : x
  2. Step 2: Convert to fraction form
    460,182.74/635,051.73 = 258,983.06/x
  3. Step 3: Cross multiply
    460,182.74x = 635,051.73 × 258,983.06
  4. Step 4: Simplify right side
    460,182.74x = 164,467,640,293.69
  5. Step 5: Solve for x
    x = 164,467,640,293.69/460,182.74
  6. Step 6: Final answer
    x = 357,396.37

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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.