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Finding the Fourth Proportional to 354,549, 531,525.24 and 164,913

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Solution

The fourth proportional to 354,549, 531,525.24 and 164,913 is: 247,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,549 : 531,525.24 = 164,913 : x
  2. Step 2: Convert to fraction form
    354,549/531,525.24 = 164,913/x
  3. Step 3: Cross multiply
    354,549x = 531,525.24 × 164,913
  4. Step 4: Simplify right side
    354,549x = 87,655,421,904.12
  5. Step 5: Solve for x
    x = 87,655,421,904.12/354,549
  6. Step 6: Final answer
    x = 247,230.77

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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.