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Finding the Fourth Proportional to 289,034.60, 433,551.90 and 277,224.80

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Solution

The fourth proportional to 289,034.60, 433,551.90 and 277,224.80 is: 415,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,034.60 : 433,551.90 = 277,224.80 : x
  2. Step 2: Convert to fraction form
    289,034.60/433,551.90 = 277,224.80/x
  3. Step 3: Cross multiply
    289,034.60x = 433,551.90 × 277,224.80
  4. Step 4: Simplify right side
    289,034.60x = 120,191,338,767.12
  5. Step 5: Solve for x
    x = 120,191,338,767.12/289,034.60
  6. Step 6: Final answer
    x = 415,837.20

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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.