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Finding the Fourth Proportional to 998,429.20, 1,497,838.20 and 429,809.20

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Solution

The fourth proportional to 998,429.20, 1,497,838.20 and 429,809.20 is: 644,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,429.20 : 1,497,838.20 = 429,809.20 : x
  2. Step 2: Convert to fraction form
    998,429.20/1,497,838.20 = 429,809.20/x
  3. Step 3: Cross multiply
    998,429.20x = 1,497,838.20 × 429,809.20
  4. Step 4: Simplify right side
    998,429.20x = 643,784,638,471.44
  5. Step 5: Solve for x
    x = 643,784,638,471.44/998,429.20
  6. Step 6: Final answer
    x = 644,797.49

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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.