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Finding the Fourth Proportional to 313,244.29, 432,113.83 and 192,412.81

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Solution

The fourth proportional to 313,244.29, 432,113.83 and 192,412.81 is: 265,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,244.29 : 432,113.83 = 192,412.81 : x
  2. Step 2: Convert to fraction form
    313,244.29/432,113.83 = 192,412.81/x
  3. Step 3: Cross multiply
    313,244.29x = 432,113.83 × 192,412.81
  4. Step 4: Simplify right side
    313,244.29x = 83,144,236,270.16
  5. Step 5: Solve for x
    x = 83,144,236,270.16/313,244.29
  6. Step 6: Final answer
    x = 265,429.38

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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.