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Finding the Fourth Proportional to 413,999.40, 620,999.10 and 288,028.20

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Solution

The fourth proportional to 413,999.40, 620,999.10 and 288,028.20 is: 432,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.40 : 620,999.10 = 288,028.20 : x
  2. Step 2: Convert to fraction form
    413,999.40/620,999.10 = 288,028.20/x
  3. Step 3: Cross multiply
    413,999.40x = 620,999.10 × 288,028.20
  4. Step 4: Simplify right side
    413,999.40x = 178,865,252,974.62
  5. Step 5: Solve for x
    x = 178,865,252,974.62/413,999.40
  6. Step 6: Final answer
    x = 432,042.30

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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.