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Finding the Fourth Proportional to 410,840.20, 617,297.10 and 261,152.20

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Solution

The fourth proportional to 410,840.20, 617,297.10 and 261,152.20 is: 392,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,840.20 : 617,297.10 = 261,152.20 : x
  2. Step 2: Convert to fraction form
    410,840.20/617,297.10 = 261,152.20/x
  3. Step 3: Cross multiply
    410,840.20x = 617,297.10 × 261,152.20
  4. Step 4: Simplify right side
    410,840.20x = 161,208,495,718.62
  5. Step 5: Solve for x
    x = 161,208,495,718.62/410,840.20
  6. Step 6: Final answer
    x = 392,387.35

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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.