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Finding the Fourth Proportional to 410,840.10, 616,260.15 and 186,200.10

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Solution

The fourth proportional to 410,840.10, 616,260.15 and 186,200.10 is: 279,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,840.10 : 616,260.15 = 186,200.10 : x
  2. Step 2: Convert to fraction form
    410,840.10/616,260.15 = 186,200.10/x
  3. Step 3: Cross multiply
    410,840.10x = 616,260.15 × 186,200.10
  4. Step 4: Simplify right side
    410,840.10x = 114,747,701,556.02
  5. Step 5: Solve for x
    x = 114,747,701,556.02/410,840.10
  6. Step 6: Final answer
    x = 279,300.15

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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.