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Finding the Fourth Proportional to 508,674, 763,011.04 and 193,131.08

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Solution

The fourth proportional to 508,674, 763,011.04 and 193,131.08 is: 289,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,674 : 763,011.04 = 193,131.08 : x
  2. Step 2: Convert to fraction form
    508,674/763,011.04 = 193,131.08/x
  3. Step 3: Cross multiply
    508,674x = 763,011.04 × 193,131.08
  4. Step 4: Simplify right side
    508,674x = 147,361,146,207.12
  5. Step 5: Solve for x
    x = 147,361,146,207.12/508,674
  6. Step 6: Final answer
    x = 289,696.64

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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.