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Finding the Fourth Proportional to 264,345.30, 397,101.15 and 254,430.90

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Solution

The fourth proportional to 264,345.30, 397,101.15 and 254,430.90 is: 382,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,345.30 : 397,101.15 = 254,430.90 : x
  2. Step 2: Convert to fraction form
    264,345.30/397,101.15 = 254,430.90/x
  3. Step 3: Cross multiply
    264,345.30x = 397,101.15 × 254,430.90
  4. Step 4: Simplify right side
    264,345.30x = 101,034,802,985.54
  5. Step 5: Solve for x
    x = 101,034,802,985.54/264,345.30
  6. Step 6: Final answer
    x = 382,207.68

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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.