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Finding the Fourth Proportional to 497,173.84, 686,096.40 and 270,819.34

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Solution

The fourth proportional to 497,173.84, 686,096.40 and 270,819.34 is: 373,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,173.84 : 686,096.40 = 270,819.34 : x
  2. Step 2: Convert to fraction form
    497,173.84/686,096.40 = 270,819.34/x
  3. Step 3: Cross multiply
    497,173.84x = 686,096.40 × 270,819.34
  4. Step 4: Simplify right side
    497,173.84x = 185,808,174,224.38
  5. Step 5: Solve for x
    x = 185,808,174,224.38/497,173.84
  6. Step 6: Final answer
    x = 373,728.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.