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Finding the Fourth Proportional to 655,743.70, 904,928.20 and 380,155.28

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Solution

The fourth proportional to 655,743.70, 904,928.20 and 380,155.28 is: 524,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,743.70 : 904,928.20 = 380,155.28 : x
  2. Step 2: Convert to fraction form
    655,743.70/904,928.20 = 380,155.28/x
  3. Step 3: Cross multiply
    655,743.70x = 904,928.20 × 380,155.28
  4. Step 4: Simplify right side
    655,743.70x = 344,013,229,914.24
  5. Step 5: Solve for x
    x = 344,013,229,914.24/655,743.70
  6. Step 6: Final answer
    x = 524,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.