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Finding the Fourth Proportional to 328,876.47, 453,847.86 and 177,973.47

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Solution

The fourth proportional to 328,876.47, 453,847.86 and 177,973.47 is: 245,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,876.47 : 453,847.86 = 177,973.47 : x
  2. Step 2: Convert to fraction form
    328,876.47/453,847.86 = 177,973.47/x
  3. Step 3: Cross multiply
    328,876.47x = 453,847.86 × 177,973.47
  4. Step 4: Simplify right side
    328,876.47x = 80,772,878,496.27
  5. Step 5: Solve for x
    x = 80,772,878,496.27/328,876.47
  6. Step 6: Final answer
    x = 245,602.49

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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.