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Finding the Fourth Proportional to 357,665.85, 493,621.79 and 214,504.65

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Solution

The fourth proportional to 357,665.85, 493,621.79 and 214,504.65 is: 296,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,665.85 : 493,621.79 = 214,504.65 : x
  2. Step 2: Convert to fraction form
    357,665.85/493,621.79 = 214,504.65/x
  3. Step 3: Cross multiply
    357,665.85x = 493,621.79 × 214,504.65
  4. Step 4: Simplify right side
    357,665.85x = 105,884,168,223.80
  5. Step 5: Solve for x
    x = 105,884,168,223.80/357,665.85
  6. Step 6: Final answer
    x = 296,042.15

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Why These Related Problems?

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