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Finding the Fourth Proportional to 460,788.50, 635,920.77 and 259,584.50

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Solution

The fourth proportional to 460,788.50, 635,920.77 and 259,584.50 is: 358,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,788.50 : 635,920.77 = 259,584.50 : x
  2. Step 2: Convert to fraction form
    460,788.50/635,920.77 = 259,584.50/x
  3. Step 3: Cross multiply
    460,788.50x = 635,920.77 × 259,584.50
  4. Step 4: Simplify right side
    460,788.50x = 165,075,175,120.07
  5. Step 5: Solve for x
    x = 165,075,175,120.07/460,788.50
  6. Step 6: Final answer
    x = 358,245.00

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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.