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Finding the Fourth Proportional to 589,289.80, 883,934.70 and 146,057.80

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Solution

The fourth proportional to 589,289.80, 883,934.70 and 146,057.80 is: 219,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,289.80 : 883,934.70 = 146,057.80 : x
  2. Step 2: Convert to fraction form
    589,289.80/883,934.70 = 146,057.80/x
  3. Step 3: Cross multiply
    589,289.80x = 883,934.70 × 146,057.80
  4. Step 4: Simplify right side
    589,289.80x = 129,105,557,625.66
  5. Step 5: Solve for x
    x = 129,105,557,625.66/589,289.80
  6. Step 6: Final answer
    x = 219,086.70

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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.