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Finding the Fourth Proportional to 458,199.40, 686,715.90 and 408,044.20

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Solution

The fourth proportional to 458,199.40, 686,715.90 and 408,044.20 is: 611,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,199.40 : 686,715.90 = 408,044.20 : x
  2. Step 2: Convert to fraction form
    458,199.40/686,715.90 = 408,044.20/x
  3. Step 3: Cross multiply
    458,199.40x = 686,715.90 × 408,044.20
  4. Step 4: Simplify right side
    458,199.40x = 280,210,440,042.78
  5. Step 5: Solve for x
    x = 280,210,440,042.78/458,199.40
  6. Step 6: Final answer
    x = 611,546.94

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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.