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Finding the Fourth Proportional to 283,035.96, 390,617.24 and 211,291.38

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Solution

The fourth proportional to 283,035.96, 390,617.24 and 211,291.38 is: 291,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,035.96 : 390,617.24 = 211,291.38 : x
  2. Step 2: Convert to fraction form
    283,035.96/390,617.24 = 211,291.38/x
  3. Step 3: Cross multiply
    283,035.96x = 390,617.24 × 211,291.38
  4. Step 4: Simplify right side
    283,035.96x = 82,534,054,634.93
  5. Step 5: Solve for x
    x = 82,534,054,634.93/283,035.96
  6. Step 6: Final answer
    x = 291,602.72

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Why These Related Problems?

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