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Finding the Fourth Proportional to 402,184.44, 603,354.42 and 152,847

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Solution

The fourth proportional to 402,184.44, 603,354.42 and 152,847 is: 229,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,184.44 : 603,354.42 = 152,847 : x
  2. Step 2: Convert to fraction form
    402,184.44/603,354.42 = 152,847/x
  3. Step 3: Cross multiply
    402,184.44x = 603,354.42 × 152,847
  4. Step 4: Simplify right side
    402,184.44x = 92,220,913,033.74
  5. Step 5: Solve for x
    x = 92,220,913,033.74/402,184.44
  6. Step 6: Final answer
    x = 229,300.05

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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.