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Finding the Fourth Proportional to 337,978.94, 506,786.54 and 135,473.40

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Solution

The fourth proportional to 337,978.94, 506,786.54 and 135,473.40 is: 203,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,978.94 : 506,786.54 = 135,473.40 : x
  2. Step 2: Convert to fraction form
    337,978.94/506,786.54 = 135,473.40/x
  3. Step 3: Cross multiply
    337,978.94x = 506,786.54 × 135,473.40
  4. Step 4: Simplify right side
    337,978.94x = 68,656,094,970.67
  5. Step 5: Solve for x
    x = 68,656,094,970.67/337,978.94
  6. Step 6: Final answer
    x = 203,137.20

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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.