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Finding the Fourth Proportional to 346,564.20, 520,076.70 and 196,804.20

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Solution

The fourth proportional to 346,564.20, 520,076.70 and 196,804.20 is: 295,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,564.20 : 520,076.70 = 196,804.20 : x
  2. Step 2: Convert to fraction form
    346,564.20/520,076.70 = 196,804.20/x
  3. Step 3: Cross multiply
    346,564.20x = 520,076.70 × 196,804.20
  4. Step 4: Simplify right side
    346,564.20x = 102,353,278,882.14
  5. Step 5: Solve for x
    x = 102,353,278,882.14/346,564.20
  6. Step 6: Final answer
    x = 295,337.14

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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.