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Finding the Fourth Proportional to 537,633.76, 741,923.76 and 336,540.64

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Solution

The fourth proportional to 537,633.76, 741,923.76 and 336,540.64 is: 464,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,633.76 : 741,923.76 = 336,540.64 : x
  2. Step 2: Convert to fraction form
    537,633.76/741,923.76 = 336,540.64/x
  3. Step 3: Cross multiply
    537,633.76x = 741,923.76 × 336,540.64
  4. Step 4: Simplify right side
    537,633.76x = 249,687,497,021.61
  5. Step 5: Solve for x
    x = 249,687,497,021.61/537,633.76
  6. Step 6: Final answer
    x = 464,419.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.