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Finding the Fourth Proportional to 469,955.12, 704,960.09 and 132,967.58

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Solution

The fourth proportional to 469,955.12, 704,960.09 and 132,967.58 is: 199,459.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,955.12 : 704,960.09 = 132,967.58 : x
  2. Step 2: Convert to fraction form
    469,955.12/704,960.09 = 132,967.58/x
  3. Step 3: Cross multiply
    469,955.12x = 704,960.09 × 132,967.58
  4. Step 4: Simplify right side
    469,955.12x = 93,736,832,974.24
  5. Step 5: Solve for x
    x = 93,736,832,974.24/469,955.12
  6. Step 6: Final answer
    x = 199,459.12

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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.