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Finding the Fourth Proportional to 468,043.20, 702,064.80 and 448,360.20

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Solution

The fourth proportional to 468,043.20, 702,064.80 and 448,360.20 is: 672,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,043.20 : 702,064.80 = 448,360.20 : x
  2. Step 2: Convert to fraction form
    468,043.20/702,064.80 = 448,360.20/x
  3. Step 3: Cross multiply
    468,043.20x = 702,064.80 × 448,360.20
  4. Step 4: Simplify right side
    468,043.20x = 314,777,914,140.96
  5. Step 5: Solve for x
    x = 314,777,914,140.96/468,043.20
  6. Step 6: Final answer
    x = 672,540.30

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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.