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Finding the Fourth Proportional to 289,212.10, 433,818.15 and 289,212.10

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Solution

The fourth proportional to 289,212.10, 433,818.15 and 289,212.10 is: 433,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212.10 : 433,818.15 = 289,212.10 : x
  2. Step 2: Convert to fraction form
    289,212.10/433,818.15 = 289,212.10/x
  3. Step 3: Cross multiply
    289,212.10x = 433,818.15 × 289,212.10
  4. Step 4: Simplify right side
    289,212.10x = 125,465,458,179.62
  5. Step 5: Solve for x
    x = 125,465,458,179.62/289,212.10
  6. Step 6: Final answer
    x = 433,818.15

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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.