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Finding the Fourth Proportional to 642,241.53, 959,456.09 and 415,756.89

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Solution

The fourth proportional to 642,241.53, 959,456.09 and 415,756.89 is: 621,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,241.53 : 959,456.09 = 415,756.89 : x
  2. Step 2: Convert to fraction form
    642,241.53/959,456.09 = 415,756.89/x
  3. Step 3: Cross multiply
    642,241.53x = 959,456.09 × 415,756.89
  4. Step 4: Simplify right side
    642,241.53x = 398,900,481,109.35
  5. Step 5: Solve for x
    x = 398,900,481,109.35/642,241.53
  6. Step 6: Final answer
    x = 621,106.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.