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Finding the Fourth Proportional to 307,866.40, 461,569.20 and 167,783.20

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Solution

The fourth proportional to 307,866.40, 461,569.20 and 167,783.20 is: 251,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,866.40 : 461,569.20 = 167,783.20 : x
  2. Step 2: Convert to fraction form
    307,866.40/461,569.20 = 167,783.20/x
  3. Step 3: Cross multiply
    307,866.40x = 461,569.20 × 167,783.20
  4. Step 4: Simplify right side
    307,866.40x = 77,443,557,397.44
  5. Step 5: Solve for x
    x = 77,443,557,397.44/307,866.40
  6. Step 6: Final answer
    x = 251,549.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.