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Finding the Fourth Proportional to 309,726.89, 427,501.67 and 211,649.83

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Solution

The fourth proportional to 309,726.89, 427,501.67 and 211,649.83 is: 292,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,726.89 : 427,501.67 = 211,649.83 : x
  2. Step 2: Convert to fraction form
    309,726.89/427,501.67 = 211,649.83/x
  3. Step 3: Cross multiply
    309,726.89x = 427,501.67 × 211,649.83
  4. Step 4: Simplify right side
    309,726.89x = 90,480,653,653.21
  5. Step 5: Solve for x
    x = 90,480,653,653.21/309,726.89
  6. Step 6: Final answer
    x = 292,130.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.