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Finding the Fourth Proportional to 464,108.16, 640,454.16 and 273,132

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Solution

The fourth proportional to 464,108.16, 640,454.16 and 273,132 is: 376,913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,108.16 : 640,454.16 = 273,132 : x
  2. Step 2: Convert to fraction form
    464,108.16/640,454.16 = 273,132/x
  3. Step 3: Cross multiply
    464,108.16x = 640,454.16 × 273,132
  4. Step 4: Simplify right side
    464,108.16x = 174,928,525,629.12
  5. Step 5: Solve for x
    x = 174,928,525,629.12/464,108.16
  6. Step 6: Final answer
    x = 376,913.27

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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.