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Finding the Fourth Proportional to 469,711.64, 704,645.70 and 154,083.80

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Solution

The fourth proportional to 469,711.64, 704,645.70 and 154,083.80 is: 231,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,711.64 : 704,645.70 = 154,083.80 : x
  2. Step 2: Convert to fraction form
    469,711.64/704,645.70 = 154,083.80/x
  3. Step 3: Cross multiply
    469,711.64x = 704,645.70 × 154,083.80
  4. Step 4: Simplify right side
    469,711.64x = 108,574,487,109.66
  5. Step 5: Solve for x
    x = 108,574,487,109.66/469,711.64
  6. Step 6: Final answer
    x = 231,151.37

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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.