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Finding the Fourth Proportional to 333,131, 459,942.54 and 197,208.68

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Solution

The fourth proportional to 333,131, 459,942.54 and 197,208.68 is: 272,279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,131 : 459,942.54 = 197,208.68 : x
  2. Step 2: Convert to fraction form
    333,131/459,942.54 = 197,208.68/x
  3. Step 3: Cross multiply
    333,131x = 459,942.54 × 197,208.68
  4. Step 4: Simplify right side
    333,131x = 90,704,661,189.25
  5. Step 5: Solve for x
    x = 90,704,661,189.25/333,131
  6. Step 6: Final answer
    x = 272,279.26

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1.5x scale

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.