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Finding the Fourth Proportional to 365,478.09, 548,714.51 and 205,666.94

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Solution

The fourth proportional to 365,478.09, 548,714.51 and 205,666.94 is: 308,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,478.09 : 548,714.51 = 205,666.94 : x
  2. Step 2: Convert to fraction form
    365,478.09/548,714.51 = 205,666.94/x
  3. Step 3: Cross multiply
    365,478.09x = 548,714.51 × 205,666.94
  4. Step 4: Simplify right side
    365,478.09x = 112,852,434,205.30
  5. Step 5: Solve for x
    x = 112,852,434,205.30/365,478.09
  6. Step 6: Final answer
    x = 308,780.30

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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.