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Finding the Fourth Proportional to 283,269.42, 424,757.70 and 83,564.34

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Solution

The fourth proportional to 283,269.42, 424,757.70 and 83,564.34 is: 125,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,269.42 : 424,757.70 = 83,564.34 : x
  2. Step 2: Convert to fraction form
    283,269.42/424,757.70 = 83,564.34/x
  3. Step 3: Cross multiply
    283,269.42x = 424,757.70 × 83,564.34
  4. Step 4: Simplify right side
    283,269.42x = 35,494,596,860.42
  5. Step 5: Solve for x
    x = 35,494,596,860.42/283,269.42
  6. Step 6: Final answer
    x = 125,303.31

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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.