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Finding the Fourth Proportional to 468,064.88, 701,654.46 and 288,260.88

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Solution

The fourth proportional to 468,064.88, 701,654.46 and 288,260.88 is: 432,118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,064.88 : 701,654.46 = 288,260.88 : x
  2. Step 2: Convert to fraction form
    468,064.88/701,654.46 = 288,260.88/x
  3. Step 3: Cross multiply
    468,064.88x = 701,654.46 × 288,260.88
  4. Step 4: Simplify right side
    468,064.88x = 202,259,532,095.53
  5. Step 5: Solve for x
    x = 202,259,532,095.53/468,064.88
  6. Step 6: Final answer
    x = 432,118.58

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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.