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Finding the Fourth Proportional to 364,969.44, 547,454.16 and 115,632

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Solution

The fourth proportional to 364,969.44, 547,454.16 and 115,632 is: 173,448

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,969.44 : 547,454.16 = 115,632 : x
  2. Step 2: Convert to fraction form
    364,969.44/547,454.16 = 115,632/x
  3. Step 3: Cross multiply
    364,969.44x = 547,454.16 × 115,632
  4. Step 4: Simplify right side
    364,969.44x = 63,303,219,429.12
  5. Step 5: Solve for x
    x = 63,303,219,429.12/364,969.44
  6. Step 6: Final answer
    x = 173,448

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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.