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Finding the Fourth Proportional to 523,262.67, 722,107.43 and 296,890.35

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Solution

The fourth proportional to 523,262.67, 722,107.43 and 296,890.35 is: 409,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,262.67 : 722,107.43 = 296,890.35 : x
  2. Step 2: Convert to fraction form
    523,262.67/722,107.43 = 296,890.35/x
  3. Step 3: Cross multiply
    523,262.67x = 722,107.43 × 296,890.35
  4. Step 4: Simplify right side
    523,262.67x = 214,386,727,630.30
  5. Step 5: Solve for x
    x = 214,386,727,630.30/523,262.67
  6. Step 6: Final answer
    x = 409,711.49

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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.