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Finding the Fourth Proportional to 461,096.48, 690,205.44 and 339,653.93

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Solution

The fourth proportional to 461,096.48, 690,205.44 and 339,653.93 is: 508,420.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,096.48 : 690,205.44 = 339,653.93 : x
  2. Step 2: Convert to fraction form
    461,096.48/690,205.44 = 339,653.93/x
  3. Step 3: Cross multiply
    461,096.48x = 690,205.44 × 339,653.93
  4. Step 4: Simplify right side
    461,096.48x = 234,430,986,115.50
  5. Step 5: Solve for x
    x = 234,430,986,115.50/461,096.48
  6. Step 6: Final answer
    x = 508,420.68

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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.