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Finding the Fourth Proportional to 459,146.83, 686,705.81 and 408,900.20

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Solution

The fourth proportional to 459,146.83, 686,705.81 and 408,900.20 is: 611,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,146.83 : 686,705.81 = 408,900.20 : x
  2. Step 2: Convert to fraction form
    459,146.83/686,705.81 = 408,900.20/x
  3. Step 3: Cross multiply
    459,146.83x = 686,705.81 × 408,900.20
  4. Step 4: Simplify right side
    459,146.83x = 280,794,141,005.66
  5. Step 5: Solve for x
    x = 280,794,141,005.66/459,146.83
  6. Step 6: Final answer
    x = 611,556.31

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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.