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Finding the Fourth Proportional to 497,776.32, 746,661.24 and 298,153.44

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Solution

The fourth proportional to 497,776.32, 746,661.24 and 298,153.44 is: 447,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,776.32 : 746,661.24 = 298,153.44 : x
  2. Step 2: Convert to fraction form
    497,776.32/746,661.24 = 298,153.44/x
  3. Step 3: Cross multiply
    497,776.32x = 746,661.24 × 298,153.44
  4. Step 4: Simplify right side
    497,776.32x = 222,619,617,220.67
  5. Step 5: Solve for x
    x = 222,619,617,220.67/497,776.32
  6. Step 6: Final answer
    x = 447,228.22

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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.