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Finding the Fourth Proportional to 283,564.27, 427,290.91 and 234,739.90

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Solution

The fourth proportional to 283,564.27, 427,290.91 and 234,739.90 is: 353,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,564.27 : 427,290.91 = 234,739.90 : x
  2. Step 2: Convert to fraction form
    283,564.27/427,290.91 = 234,739.90/x
  3. Step 3: Cross multiply
    283,564.27x = 427,290.91 × 234,739.90
  4. Step 4: Simplify right side
    283,564.27x = 100,302,225,484.31
  5. Step 5: Solve for x
    x = 100,302,225,484.31/283,564.27
  6. Step 6: Final answer
    x = 353,719.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.