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Finding the Fourth Proportional to 340,830.80, 511,246.20 and 321,477.20

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Solution

The fourth proportional to 340,830.80, 511,246.20 and 321,477.20 is: 482,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,830.80 : 511,246.20 = 321,477.20 : x
  2. Step 2: Convert to fraction form
    340,830.80/511,246.20 = 321,477.20/x
  3. Step 3: Cross multiply
    340,830.80x = 511,246.20 × 321,477.20
  4. Step 4: Simplify right side
    340,830.80x = 164,353,996,886.64
  5. Step 5: Solve for x
    x = 164,353,996,886.64/340,830.80
  6. Step 6: Final answer
    x = 482,215.80

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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.