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Finding the Fourth Proportional to 346,577.20, 520,096.20 and 196,817.20

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Solution

The fourth proportional to 346,577.20, 520,096.20 and 196,817.20 is: 295,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,577.20 : 520,096.20 = 196,817.20 : x
  2. Step 2: Convert to fraction form
    346,577.20/520,096.20 = 196,817.20/x
  3. Step 3: Cross multiply
    346,577.20x = 520,096.20 × 196,817.20
  4. Step 4: Simplify right side
    346,577.20x = 102,363,877,814.64
  5. Step 5: Solve for x
    x = 102,363,877,814.64/346,577.20
  6. Step 6: Final answer
    x = 295,356.64

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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.