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Finding the Fourth Proportional to 826,516.40, 1,237,409.40 and 508,834.40

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Solution

The fourth proportional to 826,516.40, 1,237,409.40 and 508,834.40 is: 761,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,516.40 : 1,237,409.40 = 508,834.40 : x
  2. Step 2: Convert to fraction form
    826,516.40/1,237,409.40 = 508,834.40/x
  3. Step 3: Cross multiply
    826,516.40x = 1,237,409.40 × 508,834.40
  4. Step 4: Simplify right side
    826,516.40x = 629,636,469,603.36
  5. Step 5: Solve for x
    x = 629,636,469,603.36/826,516.40
  6. Step 6: Final answer
    x = 761,795.49

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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.