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Finding the Fourth Proportional to 520,262.82, 780,394.53 and 146,285.82

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Solution

The fourth proportional to 520,262.82, 780,394.53 and 146,285.82 is: 219,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,262.82 : 780,394.53 = 146,285.82 : x
  2. Step 2: Convert to fraction form
    520,262.82/780,394.53 = 146,285.82/x
  3. Step 3: Cross multiply
    520,262.82x = 780,394.53 × 146,285.82
  4. Step 4: Simplify right side
    520,262.82x = 114,160,653,744.57
  5. Step 5: Solve for x
    x = 114,160,653,744.57/520,262.82
  6. Step 6: Final answer
    x = 219,428.81

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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.