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Finding the Fourth Proportional to 416,189.10, 624,283.66 and 176,340.80

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Solution

The fourth proportional to 416,189.10, 624,283.66 and 176,340.80 is: 264,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,189.10 : 624,283.66 = 176,340.80 : x
  2. Step 2: Convert to fraction form
    416,189.10/624,283.66 = 176,340.80/x
  3. Step 3: Cross multiply
    416,189.10x = 624,283.66 × 176,340.80
  4. Step 4: Simplify right side
    416,189.10x = 110,086,680,031.33
  5. Step 5: Solve for x
    x = 110,086,680,031.33/416,189.10
  6. Step 6: Final answer
    x = 264,511.20

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1.5x scale

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.