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Finding the Fourth Proportional to 336,462.40, 504,013.20 and 209,713.60

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Solution

The fourth proportional to 336,462.40, 504,013.20 and 209,713.60 is: 314,146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,462.40 : 504,013.20 = 209,713.60 : x
  2. Step 2: Convert to fraction form
    336,462.40/504,013.20 = 209,713.60/x
  3. Step 3: Cross multiply
    336,462.40x = 504,013.20 × 209,713.60
  4. Step 4: Simplify right side
    336,462.40x = 105,698,422,619.52
  5. Step 5: Solve for x
    x = 105,698,422,619.52/336,462.40
  6. Step 6: Final answer
    x = 314,146.31

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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.