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Finding the Fourth Proportional to 289,001.70, 433,502.55 and 264,507.30

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Solution

The fourth proportional to 289,001.70, 433,502.55 and 264,507.30 is: 396,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,001.70 : 433,502.55 = 264,507.30 : x
  2. Step 2: Convert to fraction form
    289,001.70/433,502.55 = 264,507.30/x
  3. Step 3: Cross multiply
    289,001.70x = 433,502.55 × 264,507.30
  4. Step 4: Simplify right side
    289,001.70x = 114,664,589,043.62
  5. Step 5: Solve for x
    x = 114,664,589,043.62/289,001.70
  6. Step 6: Final answer
    x = 396,760.95

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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.