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Finding the Fourth Proportional to 453,998.50, 680,746.11 and 210,574.06

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Solution

The fourth proportional to 453,998.50, 680,746.11 and 210,574.06 is: 315,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,998.50 : 680,746.11 = 210,574.06 : x
  2. Step 2: Convert to fraction form
    453,998.50/680,746.11 = 210,574.06/x
  3. Step 3: Cross multiply
    453,998.50x = 680,746.11 × 210,574.06
  4. Step 4: Simplify right side
    453,998.50x = 143,347,472,211.91
  5. Step 5: Solve for x
    x = 143,347,472,211.91/453,998.50
  6. Step 6: Final answer
    x = 315,744.37

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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.