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Finding the Fourth Proportional to 468,644.94, 702,026.09 and 215,573.50

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Solution

The fourth proportional to 468,644.94, 702,026.09 and 215,573.50 is: 322,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,644.94 : 702,026.09 = 215,573.50 : x
  2. Step 2: Convert to fraction form
    468,644.94/702,026.09 = 215,573.50/x
  3. Step 3: Cross multiply
    468,644.94x = 702,026.09 × 215,573.50
  4. Step 4: Simplify right side
    468,644.94x = 151,338,221,920.68
  5. Step 5: Solve for x
    x = 151,338,221,920.68/468,644.94
  6. Step 6: Final answer
    x = 322,927.25

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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.