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Finding the Fourth Proportional to 414,537.40, 621,806.10 and 274,454.20

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Solution

The fourth proportional to 414,537.40, 621,806.10 and 274,454.20 is: 411,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,537.40 : 621,806.10 = 274,454.20 : x
  2. Step 2: Convert to fraction form
    414,537.40/621,806.10 = 274,454.20/x
  3. Step 3: Cross multiply
    414,537.40x = 621,806.10 × 274,454.20
  4. Step 4: Simplify right side
    414,537.40x = 170,657,295,730.62
  5. Step 5: Solve for x
    x = 170,657,295,730.62/414,537.40
  6. Step 6: Final answer
    x = 411,681.30

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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.