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Finding the Fourth Proportional to 524,975.94, 724,460.49 and 298,620.90

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Solution

The fourth proportional to 524,975.94, 724,460.49 and 298,620.90 is: 412,093.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,975.94 : 724,460.49 = 298,620.90 : x
  2. Step 2: Convert to fraction form
    524,975.94/724,460.49 = 298,620.90/x
  3. Step 3: Cross multiply
    524,975.94x = 724,460.49 × 298,620.90
  4. Step 4: Simplify right side
    524,975.94x = 216,339,043,538.24
  5. Step 5: Solve for x
    x = 216,339,043,538.24/524,975.94
  6. Step 6: Final answer
    x = 412,093.25

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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.