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Finding the Fourth Proportional to 524,709.96, 724,033.26 and 298,360.32

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Solution

The fourth proportional to 524,709.96, 724,033.26 and 298,360.32 is: 411,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,709.96 : 724,033.26 = 298,360.32 : x
  2. Step 2: Convert to fraction form
    524,709.96/724,033.26 = 298,360.32/x
  3. Step 3: Cross multiply
    524,709.96x = 724,033.26 × 298,360.32
  4. Step 4: Simplify right side
    524,709.96x = 216,022,795,144.24
  5. Step 5: Solve for x
    x = 216,022,795,144.24/524,709.96
  6. Step 6: Final answer
    x = 411,699.44

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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.