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Finding the Fourth Proportional to 413,624.70, 619,124.85 and 413,624.70

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Solution

The fourth proportional to 413,624.70, 619,124.85 and 413,624.70 is: 619,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,624.70 : 619,124.85 = 413,624.70 : x
  2. Step 2: Convert to fraction form
    413,624.70/619,124.85 = 413,624.70/x
  3. Step 3: Cross multiply
    413,624.70x = 619,124.85 × 413,624.70
  4. Step 4: Simplify right side
    413,624.70x = 256,085,330,343.80
  5. Step 5: Solve for x
    x = 256,085,330,343.80/413,624.70
  6. Step 6: Final answer
    x = 619,124.85

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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.