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Finding the Fourth Proportional to 289,052.10, 433,578.15 and 289,052.10

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Solution

The fourth proportional to 289,052.10, 433,578.15 and 289,052.10 is: 433,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,052.10 : 433,578.15 = 289,052.10 : x
  2. Step 2: Convert to fraction form
    289,052.10/433,578.15 = 289,052.10/x
  3. Step 3: Cross multiply
    289,052.10x = 433,578.15 × 289,052.10
  4. Step 4: Simplify right side
    289,052.10x = 125,326,674,771.62
  5. Step 5: Solve for x
    x = 125,326,674,771.62/289,052.10
  6. Step 6: Final answer
    x = 433,578.15

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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.