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Finding the Fourth Proportional to 384,809.69, 577,224.45 and 182,358.29

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Solution

The fourth proportional to 384,809.69, 577,224.45 and 182,358.29 is: 273,542.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,809.69 : 577,224.45 = 182,358.29 : x
  2. Step 2: Convert to fraction form
    384,809.69/577,224.45 = 182,358.29/x
  3. Step 3: Cross multiply
    384,809.69x = 577,224.45 × 182,358.29
  4. Step 4: Simplify right side
    384,809.69x = 105,261,660,762.07
  5. Step 5: Solve for x
    x = 105,261,660,762.07/384,809.69
  6. Step 6: Final answer
    x = 273,542.13

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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.