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Finding the Fourth Proportional to 469,824.60, 704,813.70 and 154,195.80

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Solution

The fourth proportional to 469,824.60, 704,813.70 and 154,195.80 is: 231,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,824.60 : 704,813.70 = 154,195.80 : x
  2. Step 2: Convert to fraction form
    469,824.60/704,813.70 = 154,195.80/x
  3. Step 3: Cross multiply
    469,824.60x = 704,813.70 × 154,195.80
  4. Step 4: Simplify right side
    469,824.60x = 108,679,312,322.46
  5. Step 5: Solve for x
    x = 108,679,312,322.46/469,824.60
  6. Step 6: Final answer
    x = 231,318.91

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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.