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Finding the Fourth Proportional to 289,908.70, 434,863.05 and 195,430.30

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Solution

The fourth proportional to 289,908.70, 434,863.05 and 195,430.30 is: 293,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,908.70 : 434,863.05 = 195,430.30 : x
  2. Step 2: Convert to fraction form
    289,908.70/434,863.05 = 195,430.30/x
  3. Step 3: Cross multiply
    289,908.70x = 434,863.05 × 195,430.30
  4. Step 4: Simplify right side
    289,908.70x = 84,985,416,320.42
  5. Step 5: Solve for x
    x = 84,985,416,320.42/289,908.70
  6. Step 6: Final answer
    x = 293,145.45

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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.