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Finding the Fourth Proportional to 289,370.80, 434,056.20 and 194,892.40

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Solution

The fourth proportional to 289,370.80, 434,056.20 and 194,892.40 is: 292,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,370.80 : 434,056.20 = 194,892.40 : x
  2. Step 2: Convert to fraction form
    289,370.80/434,056.20 = 194,892.40/x
  3. Step 3: Cross multiply
    289,370.80x = 434,056.20 × 194,892.40
  4. Step 4: Simplify right side
    289,370.80x = 84,594,254,552.88
  5. Step 5: Solve for x
    x = 84,594,254,552.88/289,370.80
  6. Step 6: Final answer
    x = 292,338.60

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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.