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Finding the Fourth Proportional to 298,033.82, 411,438.99 and 229,897.83

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Solution

The fourth proportional to 298,033.82, 411,438.99 and 229,897.83 is: 317,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,033.82 : 411,438.99 = 229,897.83 : x
  2. Step 2: Convert to fraction form
    298,033.82/411,438.99 = 229,897.83/x
  3. Step 3: Cross multiply
    298,033.82x = 411,438.99 × 229,897.83
  4. Step 4: Simplify right side
    298,033.82x = 94,588,930,978.39
  5. Step 5: Solve for x
    x = 94,588,930,978.39/298,033.82
  6. Step 6: Final answer
    x = 317,376.50

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1.5x scale

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.