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Finding the Fourth Proportional to 652,293.24, 899,782.38 and 410,191.80

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Solution

The fourth proportional to 652,293.24, 899,782.38 and 410,191.80 is: 565,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,293.24 : 899,782.38 = 410,191.80 : x
  2. Step 2: Convert to fraction form
    652,293.24/899,782.38 = 410,191.80/x
  3. Step 3: Cross multiply
    652,293.24x = 899,782.38 × 410,191.80
  4. Step 4: Simplify right side
    652,293.24x = 369,083,354,060.48
  5. Step 5: Solve for x
    x = 369,083,354,060.48/652,293.24
  6. Step 6: Final answer
    x = 565,824.28

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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.