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Finding the Fourth Proportional to 341,282.85, 511,705.56 and 141,740.97

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Solution

The fourth proportional to 341,282.85, 511,705.56 and 141,740.97 is: 212,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,282.85 : 511,705.56 = 141,740.97 : x
  2. Step 2: Convert to fraction form
    341,282.85/511,705.56 = 141,740.97/x
  3. Step 3: Cross multiply
    341,282.85x = 511,705.56 × 141,740.97
  4. Step 4: Simplify right side
    341,282.85x = 72,529,642,428.79
  5. Step 5: Solve for x
    x = 72,529,642,428.79/341,282.85
  6. Step 6: Final answer
    x = 212,520.62

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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.