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Finding the Fourth Proportional to 289,417.20, 434,125.80 and 200,770.80

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Solution

The fourth proportional to 289,417.20, 434,125.80 and 200,770.80 is: 301,156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,417.20 : 434,125.80 = 200,770.80 : x
  2. Step 2: Convert to fraction form
    289,417.20/434,125.80 = 200,770.80/x
  3. Step 3: Cross multiply
    289,417.20x = 434,125.80 × 200,770.80
  4. Step 4: Simplify right side
    289,417.20x = 87,159,784,166.64
  5. Step 5: Solve for x
    x = 87,159,784,166.64/289,417.20
  6. Step 6: Final answer
    x = 301,156.20

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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.