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Finding the Fourth Proportional to 730,520, 1,095,780.40 and 231,884

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Solution

The fourth proportional to 730,520, 1,095,780.40 and 231,884 is: 347,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,520 : 1,095,780.40 = 231,884 : x
  2. Step 2: Convert to fraction form
    730,520/1,095,780.40 = 231,884/x
  3. Step 3: Cross multiply
    730,520x = 1,095,780.40 × 231,884
  4. Step 4: Simplify right side
    730,520x = 254,093,942,273.60
  5. Step 5: Solve for x
    x = 254,093,942,273.60/730,520
  6. Step 6: Final answer
    x = 347,826.13

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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.