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Finding the Fourth Proportional to 411,128.96, 616,700.21 and 144,892.67

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Solution

The fourth proportional to 411,128.96, 616,700.21 and 144,892.67 is: 217,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,128.96 : 616,700.21 = 144,892.67 : x
  2. Step 2: Convert to fraction form
    411,128.96/616,700.21 = 144,892.67/x
  3. Step 3: Cross multiply
    411,128.96x = 616,700.21 × 144,892.67
  4. Step 4: Simplify right side
    411,128.96x = 89,355,336,208.50
  5. Step 5: Solve for x
    x = 89,355,336,208.50/411,128.96
  6. Step 6: Final answer
    x = 217,341.38

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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.