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Finding the Fourth Proportional to 474,456, 654,749.76 and 273,252.48

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Solution

The fourth proportional to 474,456, 654,749.76 and 273,252.48 is: 377,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,456 : 654,749.76 = 273,252.48 : x
  2. Step 2: Convert to fraction form
    474,456/654,749.76 = 273,252.48/x
  3. Step 3: Cross multiply
    474,456x = 654,749.76 × 273,252.48
  4. Step 4: Simplify right side
    474,456x = 178,911,995,699.41
  5. Step 5: Solve for x
    x = 178,911,995,699.41/474,456
  6. Step 6: Final answer
    x = 377,088.70

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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.