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Finding the Fourth Proportional to 523,332.20, 722,211.70 and 293,907.80

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Solution

The fourth proportional to 523,332.20, 722,211.70 and 293,907.80 is: 405,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,332.20 : 722,211.70 = 293,907.80 : x
  2. Step 2: Convert to fraction form
    523,332.20/722,211.70 = 293,907.80/x
  3. Step 3: Cross multiply
    523,332.20x = 722,211.70 × 293,907.80
  4. Step 4: Simplify right side
    523,332.20x = 212,263,651,881.26
  5. Step 5: Solve for x
    x = 212,263,651,881.26/523,332.20
  6. Step 6: Final answer
    x = 405,600.21

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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.