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Finding the Fourth Proportional to 414,000.10, 621,000.15 and 288,028.90

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Solution

The fourth proportional to 414,000.10, 621,000.15 and 288,028.90 is: 432,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.10 : 621,000.15 = 288,028.90 : x
  2. Step 2: Convert to fraction form
    414,000.10/621,000.15 = 288,028.90/x
  3. Step 3: Cross multiply
    414,000.10x = 621,000.15 × 288,028.90
  4. Step 4: Simplify right side
    414,000.10x = 178,865,990,104.34
  5. Step 5: Solve for x
    x = 178,865,990,104.34/414,000.10
  6. Step 6: Final answer
    x = 432,043.35

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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.