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Finding the Fourth Proportional to 414,001.40, 621,002.10 and 353,640.20

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Solution

The fourth proportional to 414,001.40, 621,002.10 and 353,640.20 is: 530,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,001.40 : 621,002.10 = 353,640.20 : x
  2. Step 2: Convert to fraction form
    414,001.40/621,002.10 = 353,640.20/x
  3. Step 3: Cross multiply
    414,001.40x = 621,002.10 × 353,640.20
  4. Step 4: Simplify right side
    414,001.40x = 219,611,306,844.42
  5. Step 5: Solve for x
    x = 219,611,306,844.42/414,001.40
  6. Step 6: Final answer
    x = 530,460.30

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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.