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Finding the Fourth Proportional to 536,137.64, 804,362.10 and 216,124.34

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Solution

The fourth proportional to 536,137.64, 804,362.10 and 216,124.34 is: 324,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,137.64 : 804,362.10 = 216,124.34 : x
  2. Step 2: Convert to fraction form
    536,137.64/804,362.10 = 216,124.34/x
  3. Step 3: Cross multiply
    536,137.64x = 804,362.10 × 216,124.34
  4. Step 4: Simplify right side
    536,137.64x = 173,842,227,983.51
  5. Step 5: Solve for x
    x = 173,842,227,983.51/536,137.64
  6. Step 6: Final answer
    x = 324,249.25

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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.