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Finding the Fourth Proportional to 464,862.70, 696,309.90 and 414,999.10

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Solution

The fourth proportional to 464,862.70, 696,309.90 and 414,999.10 is: 621,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,862.70 : 696,309.90 = 414,999.10 : x
  2. Step 2: Convert to fraction form
    464,862.70/696,309.90 = 414,999.10/x
  3. Step 3: Cross multiply
    464,862.70x = 696,309.90 × 414,999.10
  4. Step 4: Simplify right side
    464,862.70x = 288,967,981,821.09
  5. Step 5: Solve for x
    x = 288,967,981,821.09/464,862.70
  6. Step 6: Final answer
    x = 621,620.07

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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.