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Finding the Fourth Proportional to 483,122.88, 724,590.82 and 146,084.51

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Solution

The fourth proportional to 483,122.88, 724,590.82 and 146,084.51 is: 219,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,122.88 : 724,590.82 = 146,084.51 : x
  2. Step 2: Convert to fraction form
    483,122.88/724,590.82 = 146,084.51/x
  3. Step 3: Cross multiply
    483,122.88x = 724,590.82 × 146,084.51
  4. Step 4: Simplify right side
    483,122.88x = 105,851,496,062.56
  5. Step 5: Solve for x
    x = 105,851,496,062.56/483,122.88
  6. Step 6: Final answer
    x = 219,098.50

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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.