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Finding the Fourth Proportional to 441,641.32, 661,969.26 and 175,330.60

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Solution

The fourth proportional to 441,641.32, 661,969.26 and 175,330.60 is: 262,800.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,641.32 : 661,969.26 = 175,330.60 : x
  2. Step 2: Convert to fraction form
    441,641.32/661,969.26 = 175,330.60/x
  3. Step 3: Cross multiply
    441,641.32x = 661,969.26 × 175,330.60
  4. Step 4: Simplify right side
    441,641.32x = 116,063,467,537.36
  5. Step 5: Solve for x
    x = 116,063,467,537.36/441,641.32
  6. Step 6: Final answer
    x = 262,800.29

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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.