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Finding the Fourth Proportional to 304,671.71, 457,063.77 and 102,247.85

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Solution

The fourth proportional to 304,671.71, 457,063.77 and 102,247.85 is: 153,390.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,671.71 : 457,063.77 = 102,247.85 : x
  2. Step 2: Convert to fraction form
    304,671.71/457,063.77 = 102,247.85/x
  3. Step 3: Cross multiply
    304,671.71x = 457,063.77 × 102,247.85
  4. Step 4: Simplify right side
    304,671.71x = 46,733,787,795.39
  5. Step 5: Solve for x
    x = 46,733,787,795.39/304,671.71
  6. Step 6: Final answer
    x = 153,390.64

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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.