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Finding the Fourth Proportional to 466,633.20, 700,295.40 and 308,809.20

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Solution

The fourth proportional to 466,633.20, 700,295.40 and 308,809.20 is: 463,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,633.20 : 700,295.40 = 308,809.20 : x
  2. Step 2: Convert to fraction form
    466,633.20/700,295.40 = 308,809.20/x
  3. Step 3: Cross multiply
    466,633.20x = 700,295.40 × 308,809.20
  4. Step 4: Simplify right side
    466,633.20x = 216,257,662,237.68
  5. Step 5: Solve for x
    x = 216,257,662,237.68/466,633.20
  6. Step 6: Final answer
    x = 463,442.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.