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Finding the Fourth Proportional to 289,487.80, 434,231.70 and 274,281.40

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Solution

The fourth proportional to 289,487.80, 434,231.70 and 274,281.40 is: 411,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,487.80 : 434,231.70 = 274,281.40 : x
  2. Step 2: Convert to fraction form
    289,487.80/434,231.70 = 274,281.40/x
  3. Step 3: Cross multiply
    289,487.80x = 434,231.70 × 274,281.40
  4. Step 4: Simplify right side
    289,487.80x = 119,101,678,600.38
  5. Step 5: Solve for x
    x = 119,101,678,600.38/289,487.80
  6. Step 6: Final answer
    x = 411,422.10

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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.