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Finding the Fourth Proportional to 497,564.72, 686,096.68 and 336,139.48

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Solution

The fourth proportional to 497,564.72, 686,096.68 and 336,139.48 is: 463,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,564.72 : 686,096.68 = 336,139.48 : x
  2. Step 2: Convert to fraction form
    497,564.72/686,096.68 = 336,139.48/x
  3. Step 3: Cross multiply
    497,564.72x = 686,096.68 × 336,139.48
  4. Step 4: Simplify right side
    497,564.72x = 230,624,181,244.93
  5. Step 5: Solve for x
    x = 230,624,181,244.93/497,564.72
  6. Step 6: Final answer
    x = 463,505.90

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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.