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Finding the Fourth Proportional to 346,464.80, 519,697.20 and 196,647.20

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Solution

The fourth proportional to 346,464.80, 519,697.20 and 196,647.20 is: 294,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,464.80 : 519,697.20 = 196,647.20 : x
  2. Step 2: Convert to fraction form
    346,464.80/519,697.20 = 196,647.20/x
  3. Step 3: Cross multiply
    346,464.80x = 519,697.20 × 196,647.20
  4. Step 4: Simplify right side
    346,464.80x = 102,196,999,227.84
  5. Step 5: Solve for x
    x = 102,196,999,227.84/346,464.80
  6. Step 6: Final answer
    x = 294,970.80

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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.