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Finding the Fourth Proportional to 427,782.84, 590,333.16 and 236,792.13

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Solution

The fourth proportional to 427,782.84, 590,333.16 and 236,792.13 is: 326,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,782.84 : 590,333.16 = 236,792.13 : x
  2. Step 2: Convert to fraction form
    427,782.84/590,333.16 = 236,792.13/x
  3. Step 3: Cross multiply
    427,782.84x = 590,333.16 × 236,792.13
  4. Step 4: Simplify right side
    427,782.84x = 139,786,246,366.03
  5. Step 5: Solve for x
    x = 139,786,246,366.03/427,782.84
  6. Step 6: Final answer
    x = 326,769.18

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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.