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Finding the Fourth Proportional to 289,354.14, 433,872.65 and 89,619.07

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Solution

The fourth proportional to 289,354.14, 433,872.65 and 89,619.07 is: 134,379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,354.14 : 433,872.65 = 89,619.07 : x
  2. Step 2: Convert to fraction form
    289,354.14/433,872.65 = 89,619.07/x
  3. Step 3: Cross multiply
    289,354.14x = 433,872.65 × 89,619.07
  4. Step 4: Simplify right side
    289,354.14x = 38,883,262,943.34
  5. Step 5: Solve for x
    x = 38,883,262,943.34/289,354.14
  6. Step 6: Final answer
    x = 134,379.50

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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.