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Finding the Fourth Proportional to 537,651.80, 741,953.64 and 295,929.20

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Solution

The fourth proportional to 537,651.80, 741,953.64 and 295,929.20 is: 408,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,651.80 : 741,953.64 = 295,929.20 : x
  2. Step 2: Convert to fraction form
    537,651.80/741,953.64 = 295,929.20/x
  3. Step 3: Cross multiply
    537,651.80x = 741,953.64 × 295,929.20
  4. Step 4: Simplify right side
    537,651.80x = 219,565,747,122.29
  5. Step 5: Solve for x
    x = 219,565,747,122.29/537,651.80
  6. Step 6: Final answer
    x = 408,379.08

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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.