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Finding the Fourth Proportional to 344,234.37, 516,553.65 and 144,539.40

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Solution

The fourth proportional to 344,234.37, 516,553.65 and 144,539.40 is: 216,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,234.37 : 516,553.65 = 144,539.40 : x
  2. Step 2: Convert to fraction form
    344,234.37/516,553.65 = 144,539.40/x
  3. Step 3: Cross multiply
    344,234.37x = 516,553.65 × 144,539.40
  4. Step 4: Simplify right side
    344,234.37x = 74,662,354,638.81
  5. Step 5: Solve for x
    x = 74,662,354,638.81/344,234.37
  6. Step 6: Final answer
    x = 216,893.96

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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.