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Finding the Fourth Proportional to 283,596.48, 424,993.76 and 157,292.36

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Solution

The fourth proportional to 283,596.48, 424,993.76 and 157,292.36 is: 235,716.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,596.48 : 424,993.76 = 157,292.36 : x
  2. Step 2: Convert to fraction form
    283,596.48/424,993.76 = 157,292.36/x
  3. Step 3: Cross multiply
    283,596.48x = 424,993.76 × 157,292.36
  4. Step 4: Simplify right side
    283,596.48x = 66,848,271,495.67
  5. Step 5: Solve for x
    x = 66,848,271,495.67/283,596.48
  6. Step 6: Final answer
    x = 235,716.15

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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.