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Finding the Fourth Proportional to 468,267.20, 646,237.92 and 264,352.64

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Solution

The fourth proportional to 468,267.20, 646,237.92 and 264,352.64 is: 364,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,267.20 : 646,237.92 = 264,352.64 : x
  2. Step 2: Convert to fraction form
    468,267.20/646,237.92 = 264,352.64/x
  3. Step 3: Cross multiply
    468,267.20x = 646,237.92 × 264,352.64
  4. Step 4: Simplify right side
    468,267.20x = 170,834,700,220.11
  5. Step 5: Solve for x
    x = 170,834,700,220.11/468,267.20
  6. Step 6: Final answer
    x = 364,823.12

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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.