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Finding the Fourth Proportional to 254,864.10, 382,294.80 and 65,324.10

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Solution

The fourth proportional to 254,864.10, 382,294.80 and 65,324.10 is: 97,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,864.10 : 382,294.80 = 65,324.10 : x
  2. Step 2: Convert to fraction form
    254,864.10/382,294.80 = 65,324.10/x
  3. Step 3: Cross multiply
    254,864.10x = 382,294.80 × 65,324.10
  4. Step 4: Simplify right side
    254,864.10x = 24,973,063,744.68
  5. Step 5: Solve for x
    x = 24,973,063,744.68/254,864.10
  6. Step 6: Final answer
    x = 97,985.80

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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.