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Finding the Fourth Proportional to 289,539.79, 434,367.72 and 100,007.11

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Solution

The fourth proportional to 289,539.79, 434,367.72 and 100,007.11 is: 150,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,539.79 : 434,367.72 = 100,007.11 : x
  2. Step 2: Convert to fraction form
    289,539.79/434,367.72 = 100,007.11/x
  3. Step 3: Cross multiply
    289,539.79x = 434,367.72 × 100,007.11
  4. Step 4: Simplify right side
    289,539.79x = 43,439,860,354.49
  5. Step 5: Solve for x
    x = 43,439,860,354.49/289,539.79
  6. Step 6: Final answer
    x = 150,030.71

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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.