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Finding the Fourth Proportional to 647,533.38, 970,746.14 and 248,460.56

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Solution

The fourth proportional to 647,533.38, 970,746.14 and 248,460.56 is: 372,478.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,533.38 : 970,746.14 = 248,460.56 : x
  2. Step 2: Convert to fraction form
    647,533.38/970,746.14 = 248,460.56/x
  3. Step 3: Cross multiply
    647,533.38x = 970,746.14 × 248,460.56
  4. Step 4: Simplify right side
    647,533.38x = 241,192,129,562.24
  5. Step 5: Solve for x
    x = 241,192,129,562.24/647,533.38
  6. Step 6: Final answer
    x = 372,478.30

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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.