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Finding the Fourth Proportional to 460,176.80, 689,854.80 and 179,628.80

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Solution

The fourth proportional to 460,176.80, 689,854.80 and 179,628.80 is: 269,283.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,176.80 : 689,854.80 = 179,628.80 : x
  2. Step 2: Convert to fraction form
    460,176.80/689,854.80 = 179,628.80/x
  3. Step 3: Cross multiply
    460,176.80x = 689,854.80 × 179,628.80
  4. Step 4: Simplify right side
    460,176.80x = 123,917,789,898.24
  5. Step 5: Solve for x
    x = 123,917,789,898.24/460,176.80
  6. Step 6: Final answer
    x = 269,283.00

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Why These Related Problems?

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