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Finding the Fourth Proportional to 501,429.48, 751,648.50 and 185,801.64

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Solution

The fourth proportional to 501,429.48, 751,648.50 and 185,801.64 is: 278,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,429.48 : 751,648.50 = 185,801.64 : x
  2. Step 2: Convert to fraction form
    501,429.48/751,648.50 = 185,801.64/x
  3. Step 3: Cross multiply
    501,429.48x = 751,648.50 × 185,801.64
  4. Step 4: Simplify right side
    501,429.48x = 139,657,524,003.54
  5. Step 5: Solve for x
    x = 139,657,524,003.54/501,429.48
  6. Step 6: Final answer
    x = 278,518.77

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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.