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Finding the Fourth Proportional to 468,274.82, 702,522.92 and 152,731.69

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Solution

The fourth proportional to 468,274.82, 702,522.92 and 152,731.69 is: 229,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,274.82 : 702,522.92 = 152,731.69 : x
  2. Step 2: Convert to fraction form
    468,274.82/702,522.92 = 152,731.69/x
  3. Step 3: Cross multiply
    468,274.82x = 702,522.92 × 152,731.69
  4. Step 4: Simplify right side
    468,274.82x = 107,297,511,460.86
  5. Step 5: Solve for x
    x = 107,297,511,460.86/468,274.82
  6. Step 6: Final answer
    x = 229,133.64

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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.