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Finding the Fourth Proportional to 460,866.57, 690,824.85 and 176,479.44

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Solution

The fourth proportional to 460,866.57, 690,824.85 and 176,479.44 is: 264,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,866.57 : 690,824.85 = 176,479.44 : x
  2. Step 2: Convert to fraction form
    460,866.57/690,824.85 = 176,479.44/x
  3. Step 3: Cross multiply
    460,866.57x = 690,824.85 × 176,479.44
  4. Step 4: Simplify right side
    460,866.57x = 121,916,382,666.08
  5. Step 5: Solve for x
    x = 121,916,382,666.08/460,866.57
  6. Step 6: Final answer
    x = 264,537.27

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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.