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Finding the Fourth Proportional to 314,623.29, 434,166.84 and 171,384.51

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Solution

The fourth proportional to 314,623.29, 434,166.84 and 171,384.51 is: 236,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,623.29 : 434,166.84 = 171,384.51 : x
  2. Step 2: Convert to fraction form
    314,623.29/434,166.84 = 171,384.51/x
  3. Step 3: Cross multiply
    314,623.29x = 434,166.84 × 171,384.51
  4. Step 4: Simplify right side
    314,623.29x = 74,409,471,131.65
  5. Step 5: Solve for x
    x = 74,409,471,131.65/314,623.29
  6. Step 6: Final answer
    x = 236,503.38

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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.