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Finding the Fourth Proportional to 299,360.40, 413,162.76 and 186,219.60

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Solution

The fourth proportional to 299,360.40, 413,162.76 and 186,219.60 is: 257,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,360.40 : 413,162.76 = 186,219.60 : x
  2. Step 2: Convert to fraction form
    299,360.40/413,162.76 = 186,219.60/x
  3. Step 3: Cross multiply
    299,360.40x = 413,162.76 × 186,219.60
  4. Step 4: Simplify right side
    299,360.40x = 76,939,003,902.10
  5. Step 5: Solve for x
    x = 76,939,003,902.10/299,360.40
  6. Step 6: Final answer
    x = 257,011.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.