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Finding the Fourth Proportional to 314,792.82, 434,401.47 and 171,549.81

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Solution

The fourth proportional to 314,792.82, 434,401.47 and 171,549.81 is: 236,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,792.82 : 434,401.47 = 171,549.81 : x
  2. Step 2: Convert to fraction form
    314,792.82/434,401.47 = 171,549.81/x
  3. Step 3: Cross multiply
    314,792.82x = 434,401.47 × 171,549.81
  4. Step 4: Simplify right side
    314,792.82x = 74,521,489,642.22
  5. Step 5: Solve for x
    x = 74,521,489,642.22/314,792.82
  6. Step 6: Final answer
    x = 236,731.86

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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.