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Finding the Fourth Proportional to 501,645.10, 752,465.60 and 181,722.12

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Solution

The fourth proportional to 501,645.10, 752,465.60 and 181,722.12 is: 272,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,645.10 : 752,465.60 = 181,722.12 : x
  2. Step 2: Convert to fraction form
    501,645.10/752,465.60 = 181,722.12/x
  3. Step 3: Cross multiply
    501,645.10x = 752,465.60 × 181,722.12
  4. Step 4: Simplify right side
    501,645.10x = 136,739,644,059.07
  5. Step 5: Solve for x
    x = 136,739,644,059.07/501,645.10
  6. Step 6: Final answer
    x = 272,582.44

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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.