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Finding the Fourth Proportional to 465,881.12, 642,915.72 and 264,677.12

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Solution

The fourth proportional to 465,881.12, 642,915.72 and 264,677.12 is: 365,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,881.12 : 642,915.72 = 264,677.12 : x
  2. Step 2: Convert to fraction form
    465,881.12/642,915.72 = 264,677.12/x
  3. Step 3: Cross multiply
    465,881.12x = 642,915.72 × 264,677.12
  4. Step 4: Simplify right side
    465,881.12x = 170,165,081,172.33
  5. Step 5: Solve for x
    x = 170,165,081,172.33/465,881.12
  6. Step 6: Final answer
    x = 365,254.30

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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.