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Finding the Fourth Proportional to 336,643.20, 504,964.80 and 315,907.20

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Solution

The fourth proportional to 336,643.20, 504,964.80 and 315,907.20 is: 473,860.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,643.20 : 504,964.80 = 315,907.20 : x
  2. Step 2: Convert to fraction form
    336,643.20/504,964.80 = 315,907.20/x
  3. Step 3: Cross multiply
    336,643.20x = 504,964.80 × 315,907.20
  4. Step 4: Simplify right side
    336,643.20x = 159,522,016,066.56
  5. Step 5: Solve for x
    x = 159,522,016,066.56/336,643.20
  6. Step 6: Final answer
    x = 473,860.80

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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.