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Finding the Fourth Proportional to 472,813.54, 652,456.09 and 268,914.06

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Solution

The fourth proportional to 472,813.54, 652,456.09 and 268,914.06 is: 371,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,813.54 : 652,456.09 = 268,914.06 : x
  2. Step 2: Convert to fraction form
    472,813.54/652,456.09 = 268,914.06/x
  3. Step 3: Cross multiply
    472,813.54x = 652,456.09 × 268,914.06
  4. Step 4: Simplify right side
    472,813.54x = 175,454,615,461.34
  5. Step 5: Solve for x
    x = 175,454,615,461.34/472,813.54
  6. Step 6: Final answer
    x = 371,086.28

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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.