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Finding the Fourth Proportional to 543,927.12, 816,038.28 and 164,832.52

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Solution

The fourth proportional to 543,927.12, 816,038.28 and 164,832.52 is: 247,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,927.12 : 816,038.28 = 164,832.52 : x
  2. Step 2: Convert to fraction form
    543,927.12/816,038.28 = 164,832.52/x
  3. Step 3: Cross multiply
    543,927.12x = 816,038.28 × 164,832.52
  4. Step 4: Simplify right side
    543,927.12x = 134,509,646,108.87
  5. Step 5: Solve for x
    x = 134,509,646,108.87/543,927.12
  6. Step 6: Final answer
    x = 247,293.51

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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.