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Finding the Fourth Proportional to 551,340.30, 827,010.45 and 416,621.10

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Solution

The fourth proportional to 551,340.30, 827,010.45 and 416,621.10 is: 624,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,340.30 : 827,010.45 = 416,621.10 : x
  2. Step 2: Convert to fraction form
    551,340.30/827,010.45 = 416,621.10/x
  3. Step 3: Cross multiply
    551,340.30x = 827,010.45 × 416,621.10
  4. Step 4: Simplify right side
    551,340.30x = 344,550,003,390.50
  5. Step 5: Solve for x
    x = 344,550,003,390.50/551,340.30
  6. Step 6: Final answer
    x = 624,931.65

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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.