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Finding the Fourth Proportional to 596,445.30, 894,959.55 and 280,847.70

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Solution

The fourth proportional to 596,445.30, 894,959.55 and 280,847.70 is: 421,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,445.30 : 894,959.55 = 280,847.70 : x
  2. Step 2: Convert to fraction form
    596,445.30/894,959.55 = 280,847.70/x
  3. Step 3: Cross multiply
    596,445.30x = 894,959.55 × 280,847.70
  4. Step 4: Simplify right side
    596,445.30x = 251,347,331,210.54
  5. Step 5: Solve for x
    x = 251,347,331,210.54/596,445.30
  6. Step 6: Final answer
    x = 421,408.86

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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.