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Finding the Fourth Proportional to 297,038.53, 409,907.82 and 167,975.02

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Solution

The fourth proportional to 297,038.53, 409,907.82 and 167,975.02 is: 231,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,038.53 : 409,907.82 = 167,975.02 : x
  2. Step 2: Convert to fraction form
    297,038.53/409,907.82 = 167,975.02/x
  3. Step 3: Cross multiply
    297,038.53x = 409,907.82 × 167,975.02
  4. Step 4: Simplify right side
    297,038.53x = 68,854,274,262.66
  5. Step 5: Solve for x
    x = 68,854,274,262.66/297,038.53
  6. Step 6: Final answer
    x = 231,802.50

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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.