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Finding the Fourth Proportional to 469,585.92, 704,406.87 and 181,399.80

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Solution

The fourth proportional to 469,585.92, 704,406.87 and 181,399.80 is: 272,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,585.92 : 704,406.87 = 181,399.80 : x
  2. Step 2: Convert to fraction form
    469,585.92/704,406.87 = 181,399.80/x
  3. Step 3: Cross multiply
    469,585.92x = 704,406.87 × 181,399.80
  4. Step 4: Simplify right side
    469,585.92x = 127,779,265,336.63
  5. Step 5: Solve for x
    x = 127,779,265,336.63/469,585.92
  6. Step 6: Final answer
    x = 272,110.51

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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.