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Finding the Fourth Proportional to 653,846.76, 980,768.28 and 174,074.52

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Solution

The fourth proportional to 653,846.76, 980,768.28 and 174,074.52 is: 261,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,846.76 : 980,768.28 = 174,074.52 : x
  2. Step 2: Convert to fraction form
    653,846.76/980,768.28 = 174,074.52/x
  3. Step 3: Cross multiply
    653,846.76x = 980,768.28 × 174,074.52
  4. Step 4: Simplify right side
    653,846.76x = 170,726,767,572.23
  5. Step 5: Solve for x
    x = 170,726,767,572.23/653,846.76
  6. Step 6: Final answer
    x = 261,111.28

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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.