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Finding the Fourth Proportional to 469,389.30, 704,113.66 and 181,338.31

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Solution

The fourth proportional to 469,389.30, 704,113.66 and 181,338.31 is: 272,018.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,389.30 : 704,113.66 = 181,338.31 : x
  2. Step 2: Convert to fraction form
    469,389.30/704,113.66 = 181,338.31/x
  3. Step 3: Cross multiply
    469,389.30x = 704,113.66 × 181,338.31
  4. Step 4: Simplify right side
    469,389.30x = 127,682,781,152.32
  5. Step 5: Solve for x
    x = 127,682,781,152.32/469,389.30
  6. Step 6: Final answer
    x = 272,018.94

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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.