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Finding the Fourth Proportional to 600,434.20, 898,464.30 and 442,970.20

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Solution

The fourth proportional to 600,434.20, 898,464.30 and 442,970.20 is: 662,841.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,434.20 : 898,464.30 = 442,970.20 : x
  2. Step 2: Convert to fraction form
    600,434.20/898,464.30 = 442,970.20/x
  3. Step 3: Cross multiply
    600,434.20x = 898,464.30 × 442,970.20
  4. Step 4: Simplify right side
    600,434.20x = 397,992,910,663.86
  5. Step 5: Solve for x
    x = 397,992,910,663.86/600,434.20
  6. Step 6: Final answer
    x = 662,841.84

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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.