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Finding the Fourth Proportional to 410,814.10, 616,221.15 and 410,814.10

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Solution

The fourth proportional to 410,814.10, 616,221.15 and 410,814.10 is: 616,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,814.10 : 616,221.15 = 410,814.10 : x
  2. Step 2: Convert to fraction form
    410,814.10/616,221.15 = 410,814.10/x
  3. Step 3: Cross multiply
    410,814.10x = 616,221.15 × 410,814.10
  4. Step 4: Simplify right side
    410,814.10x = 253,152,337,138.22
  5. Step 5: Solve for x
    x = 253,152,337,138.22/410,814.10
  6. Step 6: Final answer
    x = 616,221.15

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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.