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Finding the Fourth Proportional to 289,328.40, 433,992.60 and 76,095.90

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Solution

The fourth proportional to 289,328.40, 433,992.60 and 76,095.90 is: 114,143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,328.40 : 433,992.60 = 76,095.90 : x
  2. Step 2: Convert to fraction form
    289,328.40/433,992.60 = 76,095.90/x
  3. Step 3: Cross multiply
    289,328.40x = 433,992.60 × 76,095.90
  4. Step 4: Simplify right side
    289,328.40x = 33,025,057,490.34
  5. Step 5: Solve for x
    x = 33,025,057,490.34/289,328.40
  6. Step 6: Final answer
    x = 114,143.85

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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.