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Finding the Fourth Proportional to 493,487.40, 740,231.10 and 213,004.65

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Solution

The fourth proportional to 493,487.40, 740,231.10 and 213,004.65 is: 319,506.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,487.40 : 740,231.10 = 213,004.65 : x
  2. Step 2: Convert to fraction form
    493,487.40/740,231.10 = 213,004.65/x
  3. Step 3: Cross multiply
    493,487.40x = 740,231.10 × 213,004.65
  4. Step 4: Simplify right side
    493,487.40x = 157,672,666,374.62
  5. Step 5: Solve for x
    x = 157,672,666,374.62/493,487.40
  6. Step 6: Final answer
    x = 319,506.98

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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.