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Finding the Fourth Proportional to 537,800.65, 742,136.73 and 296,036

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Solution

The fourth proportional to 537,800.65, 742,136.73 and 296,036 is: 408,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,800.65 : 742,136.73 = 296,036 : x
  2. Step 2: Convert to fraction form
    537,800.65/742,136.73 = 296,036/x
  3. Step 3: Cross multiply
    537,800.65x = 742,136.73 × 296,036
  4. Step 4: Simplify right side
    537,800.65x = 219,699,189,002.28
  5. Step 5: Solve for x
    x = 219,699,189,002.28/537,800.65
  6. Step 6: Final answer
    x = 408,514.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.