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Finding the Fourth Proportional to 589,687.80, 884,531.70 and 146,455.80

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Solution

The fourth proportional to 589,687.80, 884,531.70 and 146,455.80 is: 219,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,687.80 : 884,531.70 = 146,455.80 : x
  2. Step 2: Convert to fraction form
    589,687.80/884,531.70 = 146,455.80/x
  3. Step 3: Cross multiply
    589,687.80x = 884,531.70 × 146,455.80
  4. Step 4: Simplify right side
    589,687.80x = 129,544,797,748.86
  5. Step 5: Solve for x
    x = 129,544,797,748.86/589,687.80
  6. Step 6: Final answer
    x = 219,683.70

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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.