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Finding the Fourth Proportional to 523,338.90, 722,166.51 and 296,984.40

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Solution

The fourth proportional to 523,338.90, 722,166.51 and 296,984.40 is: 409,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,338.90 : 722,166.51 = 296,984.40 : x
  2. Step 2: Convert to fraction form
    523,338.90/722,166.51 = 296,984.40/x
  3. Step 3: Cross multiply
    523,338.90x = 722,166.51 × 296,984.40
  4. Step 4: Simplify right side
    523,338.90x = 214,472,187,672.44
  5. Step 5: Solve for x
    x = 214,472,187,672.44/523,338.90
  6. Step 6: Final answer
    x = 409,815.11

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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.