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Finding the Fourth Proportional to 283,281.38, 390,956.54 and 211,536.84

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Solution

The fourth proportional to 283,281.38, 390,956.54 and 211,536.84 is: 291,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,281.38 : 390,956.54 = 211,536.84 : x
  2. Step 2: Convert to fraction form
    283,281.38/390,956.54 = 211,536.84/x
  3. Step 3: Cross multiply
    283,281.38x = 390,956.54 × 211,536.84
  4. Step 4: Simplify right side
    283,281.38x = 82,701,709,991.25
  5. Step 5: Solve for x
    x = 82,701,709,991.25/283,281.38
  6. Step 6: Final answer
    x = 291,941.93

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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.