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Finding the Fourth Proportional to 523,332.80, 722,202.72 and 296,982.08

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Solution

The fourth proportional to 523,332.80, 722,202.72 and 296,982.08 is: 409,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,332.80 : 722,202.72 = 296,982.08 : x
  2. Step 2: Convert to fraction form
    523,332.80/722,202.72 = 296,982.08/x
  3. Step 3: Cross multiply
    523,332.80x = 722,202.72 × 296,982.08
  4. Step 4: Simplify right side
    523,332.80x = 214,481,265,967.26
  5. Step 5: Solve for x
    x = 214,481,265,967.26/523,332.80
  6. Step 6: Final answer
    x = 409,837.23

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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.