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Finding the Fourth Proportional to 410,846.48, 616,445.40 and 197,511.92

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Solution

The fourth proportional to 410,846.48, 616,445.40 and 197,511.92 is: 296,352.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,846.48 : 616,445.40 = 197,511.92 : x
  2. Step 2: Convert to fraction form
    410,846.48/616,445.40 = 197,511.92/x
  3. Step 3: Cross multiply
    410,846.48x = 616,445.40 × 197,511.92
  4. Step 4: Simplify right side
    410,846.48x = 121,755,314,529.17
  5. Step 5: Solve for x
    x = 121,755,314,529.17/410,846.48
  6. Step 6: Final answer
    x = 296,352.34

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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.