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Finding the Fourth Proportional to 645,730.80, 968,596.20 and 409,340.40

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Solution

The fourth proportional to 645,730.80, 968,596.20 and 409,340.40 is: 614,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,730.80 : 968,596.20 = 409,340.40 : x
  2. Step 2: Convert to fraction form
    645,730.80/968,596.20 = 409,340.40/x
  3. Step 3: Cross multiply
    645,730.80x = 968,596.20 × 409,340.40
  4. Step 4: Simplify right side
    645,730.80x = 396,485,555,946.48
  5. Step 5: Solve for x
    x = 396,485,555,946.48/645,730.80
  6. Step 6: Final answer
    x = 614,010.60

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Similar ratio
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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.