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Finding the Fourth Proportional to 4,671,786.60, 7,006,367.70 and 1,477,891.80

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Solution

The fourth proportional to 4,671,786.60, 7,006,367.70 and 1,477,891.80 is: 2,216,422.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671,786.60 : 7,006,367.70 = 1,477,891.80 : x
  2. Step 2: Convert to fraction form
    4,671,786.60/7,006,367.70 = 1,477,891.80/x
  3. Step 3: Cross multiply
    4,671,786.60x = 7,006,367.70 × 1,477,891.80
  4. Step 4: Simplify right side
    4,671,786.60x = 10,354,653,371,614.86
  5. Step 5: Solve for x
    x = 10,354,653,371,614.86/4,671,786.60
  6. Step 6: Final answer
    x = 2,216,422.59

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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.