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Finding the Fourth Proportional to 289,714.80, 405,877.20 and 289,714.80

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Solution

The fourth proportional to 289,714.80, 405,877.20 and 289,714.80 is: 405,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,714.80 : 405,877.20 = 289,714.80 : x
  2. Step 2: Convert to fraction form
    289,714.80/405,877.20 = 289,714.80/x
  3. Step 3: Cross multiply
    289,714.80x = 405,877.20 × 289,714.80
  4. Step 4: Simplify right side
    289,714.80x = 117,588,631,822.56
  5. Step 5: Solve for x
    x = 117,588,631,822.56/289,714.80
  6. Step 6: Final answer
    x = 405,877.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.