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Finding the Fourth Proportional to 411,000, 616,624.32 and 291,288.48

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Solution

The fourth proportional to 411,000, 616,624.32 and 291,288.48 is: 437,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,000 : 616,624.32 = 291,288.48 : x
  2. Step 2: Convert to fraction form
    411,000/616,624.32 = 291,288.48/x
  3. Step 3: Cross multiply
    411,000x = 616,624.32 × 291,288.48
  4. Step 4: Simplify right side
    411,000x = 179,615,560,903.83
  5. Step 5: Solve for x
    x = 179,615,560,903.83/411,000
  6. Step 6: Final answer
    x = 437,020.83

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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.