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Finding the Fourth Proportional to 411,609.30, 616,211.10 and 293,511.30

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Solution

The fourth proportional to 411,609.30, 616,211.10 and 293,511.30 is: 439,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,609.30 : 616,211.10 = 293,511.30 : x
  2. Step 2: Convert to fraction form
    411,609.30/616,211.10 = 293,511.30/x
  3. Step 3: Cross multiply
    411,609.30x = 616,211.10 × 293,511.30
  4. Step 4: Simplify right side
    411,609.30x = 180,864,921,035.43
  5. Step 5: Solve for x
    x = 180,864,921,035.43/411,609.30
  6. Step 6: Final answer
    x = 439,409.22

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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.