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Finding the Fourth Proportional to 523,884.49, 722,967.11 and 317,150.14

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Solution

The fourth proportional to 523,884.49, 722,967.11 and 317,150.14 is: 437,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,884.49 : 722,967.11 = 317,150.14 : x
  2. Step 2: Convert to fraction form
    523,884.49/722,967.11 = 317,150.14/x
  3. Step 3: Cross multiply
    523,884.49x = 722,967.11 × 317,150.14
  4. Step 4: Simplify right side
    523,884.49x = 229,289,119,847.89
  5. Step 5: Solve for x
    x = 229,289,119,847.89/523,884.49
  6. Step 6: Final answer
    x = 437,671.14

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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.