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Finding the Fourth Proportional to 469,341.80, 704,039.94 and 181,155.05

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Solution

The fourth proportional to 469,341.80, 704,039.94 and 181,155.05 is: 271,743.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,341.80 : 704,039.94 = 181,155.05 : x
  2. Step 2: Convert to fraction form
    469,341.80/704,039.94 = 181,155.05/x
  3. Step 3: Cross multiply
    469,341.80x = 704,039.94 × 181,155.05
  4. Step 4: Simplify right side
    469,341.80x = 127,540,387,012.50
  5. Step 5: Solve for x
    x = 127,540,387,012.50/469,341.80
  6. Step 6: Final answer
    x = 271,743.08

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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.