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Finding the Fourth Proportional to 469,103.99, 703,656 and 188,555.63

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Solution

The fourth proportional to 469,103.99, 703,656 and 188,555.63 is: 282,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,103.99 : 703,656 = 188,555.63 : x
  2. Step 2: Convert to fraction form
    469,103.99/703,656 = 188,555.63/x
  3. Step 3: Cross multiply
    469,103.99x = 703,656 × 188,555.63
  4. Step 4: Simplify right side
    469,103.99x = 132,678,296,865
  5. Step 5: Solve for x
    x = 132,678,296,865/469,103.99
  6. Step 6: Final answer
    x = 282,833.45

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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.