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Finding the Fourth Proportional to 465,393.66, 642,242.89 and 264,189.66

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Solution

The fourth proportional to 465,393.66, 642,242.89 and 264,189.66 is: 364,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,393.66 : 642,242.89 = 264,189.66 : x
  2. Step 2: Convert to fraction form
    465,393.66/642,242.89 = 264,189.66/x
  3. Step 3: Cross multiply
    465,393.66x = 642,242.89 × 264,189.66
  4. Step 4: Simplify right side
    465,393.66x = 169,673,930,746.52
  5. Step 5: Solve for x
    x = 169,673,930,746.52/465,393.66
  6. Step 6: Final answer
    x = 364,581.53

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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.