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Finding the Fourth Proportional to 763,409.80, 1,053,406.38 and 423,812.44

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Solution

The fourth proportional to 763,409.80, 1,053,406.38 and 423,812.44 is: 584,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,409.80 : 1,053,406.38 = 423,812.44 : x
  2. Step 2: Convert to fraction form
    763,409.80/1,053,406.38 = 423,812.44/x
  3. Step 3: Cross multiply
    763,409.80x = 1,053,406.38 × 423,812.44
  4. Step 4: Simplify right side
    763,409.80x = 446,446,728,219.37
  5. Step 5: Solve for x
    x = 446,446,728,219.37/763,409.80
  6. Step 6: Final answer
    x = 584,806.13

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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.