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Finding the Fourth Proportional to 351,459.10, 527,415.45 and 193,800.70

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Solution

The fourth proportional to 351,459.10, 527,415.45 and 193,800.70 is: 290,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,459.10 : 527,415.45 = 193,800.70 : x
  2. Step 2: Convert to fraction form
    351,459.10/527,415.45 = 193,800.70/x
  3. Step 3: Cross multiply
    351,459.10x = 527,415.45 × 193,800.70
  4. Step 4: Simplify right side
    351,459.10x = 102,213,483,400.82
  5. Step 5: Solve for x
    x = 102,213,483,400.82/351,459.10
  6. Step 6: Final answer
    x = 290,826.11

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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.