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Finding the Fourth Proportional to 551,409.10, 827,113.65 and 374,461.90

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Solution

The fourth proportional to 551,409.10, 827,113.65 and 374,461.90 is: 561,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,409.10 : 827,113.65 = 374,461.90 : x
  2. Step 2: Convert to fraction form
    551,409.10/827,113.65 = 374,461.90/x
  3. Step 3: Cross multiply
    551,409.10x = 827,113.65 × 374,461.90
  4. Step 4: Simplify right side
    551,409.10x = 309,722,548,894.94
  5. Step 5: Solve for x
    x = 309,722,548,894.94/551,409.10
  6. Step 6: Final answer
    x = 561,692.85

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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.