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Finding the Fourth Proportional to 492,397.29, 738,674.67 and 208,090.59

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Solution

The fourth proportional to 492,397.29, 738,674.67 and 208,090.59 is: 312,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,397.29 : 738,674.67 = 208,090.59 : x
  2. Step 2: Convert to fraction form
    492,397.29/738,674.67 = 208,090.59/x
  3. Step 3: Cross multiply
    492,397.29x = 738,674.67 × 208,090.59
  4. Step 4: Simplify right side
    492,397.29x = 153,711,247,898.36
  5. Step 5: Solve for x
    x = 153,711,247,898.36/492,397.29
  6. Step 6: Final answer
    x = 312,169.16

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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.