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Finding the Fourth Proportional to 641,210.20, 884,711.10 and 414,583

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Solution

The fourth proportional to 641,210.20, 884,711.10 and 414,583 is: 572,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,210.20 : 884,711.10 = 414,583 : x
  2. Step 2: Convert to fraction form
    641,210.20/884,711.10 = 414,583/x
  3. Step 3: Cross multiply
    641,210.20x = 884,711.10 × 414,583
  4. Step 4: Simplify right side
    641,210.20x = 366,786,181,971.30
  5. Step 5: Solve for x
    x = 366,786,181,971.30/641,210.20
  6. Step 6: Final answer
    x = 572,021.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.