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Finding the Fourth Proportional to 468,301.10, 646,255.26 and 264,353.79

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Solution

The fourth proportional to 468,301.10, 646,255.26 and 264,353.79 is: 364,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,301.10 : 646,255.26 = 264,353.79 : x
  2. Step 2: Convert to fraction form
    468,301.10/646,255.26 = 264,353.79/x
  3. Step 3: Cross multiply
    468,301.10x = 646,255.26 × 264,353.79
  4. Step 4: Simplify right side
    468,301.10x = 170,840,024,057.16
  5. Step 5: Solve for x
    x = 170,840,024,057.16/468,301.10
  6. Step 6: Final answer
    x = 364,808.08

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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.