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Finding the Fourth Proportional to 460,185.80, 689,868.30 and 179,637.80

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Solution

The fourth proportional to 460,185.80, 689,868.30 and 179,637.80 is: 269,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,185.80 : 689,868.30 = 179,637.80 : x
  2. Step 2: Convert to fraction form
    460,185.80/689,868.30 = 179,637.80/x
  3. Step 3: Cross multiply
    460,185.80x = 689,868.30 × 179,637.80
  4. Step 4: Simplify right side
    460,185.80x = 123,926,423,701.74
  5. Step 5: Solve for x
    x = 123,926,423,701.74/460,185.80
  6. Step 6: Final answer
    x = 269,296.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.