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Finding the Fourth Proportional to 529,794.40, 794,173.20 and 213,829.60

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Solution

The fourth proportional to 529,794.40, 794,173.20 and 213,829.60 is: 320,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,794.40 : 794,173.20 = 213,829.60 : x
  2. Step 2: Convert to fraction form
    529,794.40/794,173.20 = 213,829.60/x
  3. Step 3: Cross multiply
    529,794.40x = 794,173.20 × 213,829.60
  4. Step 4: Simplify right side
    529,794.40x = 169,817,737,686.72
  5. Step 5: Solve for x
    x = 169,817,737,686.72/529,794.40
  6. Step 6: Final answer
    x = 320,535.17

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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.