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Finding the Fourth Proportional to 468,713.60, 646,864.56 and 264,801.92

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Solution

The fourth proportional to 468,713.60, 646,864.56 and 264,801.92 is: 365,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,713.60 : 646,864.56 = 264,801.92 : x
  2. Step 2: Convert to fraction form
    468,713.60/646,864.56 = 264,801.92/x
  3. Step 3: Cross multiply
    468,713.60x = 646,864.56 × 264,801.92
  4. Step 4: Simplify right side
    468,713.60x = 171,290,977,467.96
  5. Step 5: Solve for x
    x = 171,290,977,467.96/468,713.60
  6. Step 6: Final answer
    x = 365,449.13

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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.