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Finding the Fourth Proportional to 339,742.80, 509,612.40 and 87,022.80

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Solution

The fourth proportional to 339,742.80, 509,612.40 and 87,022.80 is: 130,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,742.80 : 509,612.40 = 87,022.80 : x
  2. Step 2: Convert to fraction form
    339,742.80/509,612.40 = 87,022.80/x
  3. Step 3: Cross multiply
    339,742.80x = 509,612.40 × 87,022.80
  4. Step 4: Simplify right side
    339,742.80x = 44,347,897,962.72
  5. Step 5: Solve for x
    x = 44,347,897,962.72/339,742.80
  6. Step 6: Final answer
    x = 130,533.74

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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.