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Finding the Fourth Proportional to 468,658.85, 646,390.40 and 323,707.22

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Solution

The fourth proportional to 468,658.85, 646,390.40 and 323,707.22 is: 446,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,658.85 : 646,390.40 = 323,707.22 : x
  2. Step 2: Convert to fraction form
    468,658.85/646,390.40 = 323,707.22/x
  3. Step 3: Cross multiply
    468,658.85x = 646,390.40 × 323,707.22
  4. Step 4: Simplify right side
    468,658.85x = 209,241,236,996.00
  5. Step 5: Solve for x
    x = 209,241,236,996.00/468,658.85
  6. Step 6: Final answer
    x = 446,468.12

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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.