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Finding the Fourth Proportional to 342,222.33, 513,420.99 and 142,476.33

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Solution

The fourth proportional to 342,222.33, 513,420.99 and 142,476.33 is: 213,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,222.33 : 513,420.99 = 142,476.33 : x
  2. Step 2: Convert to fraction form
    342,222.33/513,420.99 = 142,476.33/x
  3. Step 3: Cross multiply
    342,222.33x = 513,420.99 × 142,476.33
  4. Step 4: Simplify right side
    342,222.33x = 73,150,338,400.17
  5. Step 5: Solve for x
    x = 73,150,338,400.17/342,222.33
  6. Step 6: Final answer
    x = 213,750.92

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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.