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Finding the Fourth Proportional to 273,354.61, 409,674.09 and 146,847

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Solution

The fourth proportional to 273,354.61, 409,674.09 and 146,847 is: 220,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,354.61 : 409,674.09 = 146,847 : x
  2. Step 2: Convert to fraction form
    273,354.61/409,674.09 = 146,847/x
  3. Step 3: Cross multiply
    273,354.61x = 409,674.09 × 146,847
  4. Step 4: Simplify right side
    273,354.61x = 60,159,411,094.23
  5. Step 5: Solve for x
    x = 60,159,411,094.23/273,354.61
  6. Step 6: Final answer
    x = 220,078.28

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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.