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Finding the Fourth Proportional to 469,447.36, 704,072.51 and 132,409.19

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Solution

The fourth proportional to 469,447.36, 704,072.51 and 132,409.19 is: 198,586.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,447.36 : 704,072.51 = 132,409.19 : x
  2. Step 2: Convert to fraction form
    469,447.36/704,072.51 = 132,409.19/x
  3. Step 3: Cross multiply
    469,447.36x = 704,072.51 × 132,409.19
  4. Step 4: Simplify right side
    469,447.36x = 93,225,673,168.64
  5. Step 5: Solve for x
    x = 93,225,673,168.64/469,447.36
  6. Step 6: Final answer
    x = 198,586.00

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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.