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Finding the Fourth Proportional to 314,480.97, 433,875.83 and 178,504.65

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Solution

The fourth proportional to 314,480.97, 433,875.83 and 178,504.65 is: 246,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,480.97 : 433,875.83 = 178,504.65 : x
  2. Step 2: Convert to fraction form
    314,480.97/433,875.83 = 178,504.65/x
  3. Step 3: Cross multiply
    314,480.97x = 433,875.83 × 178,504.65
  4. Step 4: Simplify right side
    314,480.97x = 77,448,852,285.09
  5. Step 5: Solve for x
    x = 77,448,852,285.09/314,480.97
  6. Step 6: Final answer
    x = 246,275.16

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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.