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Finding the Fourth Proportional to 523,619.80, 722,598.78 and 297,269.08

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Solution

The fourth proportional to 523,619.80, 722,598.78 and 297,269.08 is: 410,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,619.80 : 722,598.78 = 297,269.08 : x
  2. Step 2: Convert to fraction form
    523,619.80/722,598.78 = 297,269.08/x
  3. Step 3: Cross multiply
    523,619.80x = 722,598.78 × 297,269.08
  4. Step 4: Simplify right side
    523,619.80x = 214,806,274,539.72
  5. Step 5: Solve for x
    x = 214,806,274,539.72/523,619.80
  6. Step 6: Final answer
    x = 410,233.29

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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.