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Finding the Fourth Proportional to 411,309.70, 616,964.55 and 346,355.80

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Solution

The fourth proportional to 411,309.70, 616,964.55 and 346,355.80 is: 519,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,309.70 : 616,964.55 = 346,355.80 : x
  2. Step 2: Convert to fraction form
    411,309.70/616,964.55 = 346,355.80/x
  3. Step 3: Cross multiply
    411,309.70x = 616,964.55 × 346,355.80
  4. Step 4: Simplify right side
    411,309.70x = 213,689,250,286.89
  5. Step 5: Solve for x
    x = 213,689,250,286.89/411,309.70
  6. Step 6: Final answer
    x = 519,533.70

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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.