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Finding the Fourth Proportional to 313,825.89, 433,065.51 and 177,851.91

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Solution

The fourth proportional to 313,825.89, 433,065.51 and 177,851.91 is: 245,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,825.89 : 433,065.51 = 177,851.91 : x
  2. Step 2: Convert to fraction form
    313,825.89/433,065.51 = 177,851.91/x
  3. Step 3: Cross multiply
    313,825.89x = 433,065.51 × 177,851.91
  4. Step 4: Simplify right side
    313,825.89x = 77,021,528,108.62
  5. Step 5: Solve for x
    x = 77,021,528,108.62/313,825.89
  6. Step 6: Final answer
    x = 245,427.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.