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Finding the Fourth Proportional to 313,537.50, 432,686.40 and 177,568.06

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Solution

The fourth proportional to 313,537.50, 432,686.40 and 177,568.06 is: 245,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,537.50 : 432,686.40 = 177,568.06 : x
  2. Step 2: Convert to fraction form
    313,537.50/432,686.40 = 177,568.06/x
  3. Step 3: Cross multiply
    313,537.50x = 432,686.40 × 177,568.06
  4. Step 4: Simplify right side
    313,537.50x = 76,831,284,636.38
  5. Step 5: Solve for x
    x = 76,831,284,636.38/313,537.50
  6. Step 6: Final answer
    x = 245,046.56

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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.