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Finding the Fourth Proportional to 289,901.40, 434,852.10 and 76,668.90

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Solution

The fourth proportional to 289,901.40, 434,852.10 and 76,668.90 is: 115,003.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,901.40 : 434,852.10 = 76,668.90 : x
  2. Step 2: Convert to fraction form
    289,901.40/434,852.10 = 76,668.90/x
  3. Step 3: Cross multiply
    289,901.40x = 434,852.10 × 76,668.90
  4. Step 4: Simplify right side
    289,901.40x = 33,339,632,169.69
  5. Step 5: Solve for x
    x = 33,339,632,169.69/289,901.40
  6. Step 6: Final answer
    x = 115,003.35

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1.5x scale

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.