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Finding the Fourth Proportional to 537,458.86, 741,710.82 and 295,758.91

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Solution

The fourth proportional to 537,458.86, 741,710.82 and 295,758.91 is: 408,156.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,458.86 : 741,710.82 = 295,758.91 : x
  2. Step 2: Convert to fraction form
    537,458.86/741,710.82 = 295,758.91/x
  3. Step 3: Cross multiply
    537,458.86x = 741,710.82 × 295,758.91
  4. Step 4: Simplify right side
    537,458.86x = 219,367,583,658.41
  5. Step 5: Solve for x
    x = 219,367,583,658.41/537,458.86
  6. Step 6: Final answer
    x = 408,156.98

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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.